WEBVTT

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Ukuzothi ga ngoku ndicinga ukuba unalo ufifi lokuba yintoni na uphinda-phindo.

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Okanye "ninzi"- phinda

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Into esizawuyenza kulomboniso, kukunika umsebenzi kakhulu,

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ndizokuqala ngokokucinga kwakho ngoluhlu lophinda-phindo.

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futhi uzawubukela imibonisi eyaneleyo ye Khan Academy,

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ndiyathemba ukuba uzawukwazi ekuhambeni kwexesha

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uzawufumana ukuba andingomntu othanda ukunkqaya.

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kodwa into enye ngophinda-phindo

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ukuba unkqaya uluhlu lophinda-phindo esizakulenza kulomboniso,

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kuzawuba lugalelo olukhulu ebomini bakho lonke.

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ndiyathembisa, yenze ngoku, awusoze uphinde ulibale,

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ubomi bakho bonke yonke into izawuba--

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kodwa ke , andifunukwenza ithemba lobuxoki,

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kodwa kuza kubangcono ukuba awulunkqayanga uluhlu lophinda-phindo.

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Ngoko ke yintoni uluhlu lophinda-phindo?

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ngawo onke amanani ahlukeneyo

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aphindaphindanayo.

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masikhe sicinge kwakhona kancinci.

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ukuba ndithi, ngubani u-2 umphinda-phinde ngo-1?

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ilingana no-2

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ilingana no-2

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ngu -2

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akunyanzelekanga ndidibanise nanayphina into

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ngoba kukho u -1 no-2 pha.

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ndingayibhala nangoluhlobo, u-1 dibanisa 1 kabini

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ngoko ke ikwangu 1 dibanisa 1

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nalonto ke ilingana no-2.

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kulungile.

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ngoko ke u-2 umphinda-phinde ngo-1 ngu-2

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ukuba ke ubuwubukele umboniso ogqithileyo, ngubani u-2 umphinda-phinde ngo-0?

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ngu-0

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ngoko ke akunyanzelekanga ukunkqaya uluhlu lophindaphindo luka-0

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ngoka yonke oyiphanda phinda ngo-0 ngu-0, okanye u-0 umohinda-phinde nangeyiphi na into ngu-0.

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ngoko ke masibone.

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ngubani u-2 umphindaphinde ngo-2?

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2 phinda-phinda ngo-2.

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lonto ilingana no--

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sizakudibanisa u-2 ku-2 kabini.

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2 dibanisa 2

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kukho indlela yokwenza linto

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ndingathi thatha u-2 umdibanise ku-2 kabini,

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kodwa yinto efanayo

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ngoko ke ngubani u-2 dibanisa 2?

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zenza u-4.

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ngubani u-2 phinda phinda ngo-3?

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u-2 phinda phinda ngo-3 ilingana no -2 dibanisa 2 dibanisa 2.

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ingalingana futhi no -3 dibanisa 3.

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Sifundile kukmboniso owandulela lo

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lomzekelo singambhala ngenye indlela eyahlukileyo.

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futhi nangeyiphi na indlela, ilingana nantoni?

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u-3 dibanisa 3

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yinto efanayo no 2 dibanisa 2 dibanisa 2

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zenza u-6

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kulungile.

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ngoku ngubani u-2 phinda phinda ngo4?

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2 phinda phinda ngo-4.

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ngu 2 dibanisa 2 dibanisa 2 dibanisa 2 .

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qaphela, iyafana nqwa no 2 phinda-phinda 3.

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u-2 phinda-phinda 3 ebenjalo.

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ndinalonto apho, kodwa ngoku ndongeze onmnye u-2.

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ukuba ke siyonqen apha ukudibanisa u-2 dibanisa 2 ngu-4.

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u-4 dibanisa 2 ngu 6

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endaweni yokwenza njalo, singathi,

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jonga, sesiyazi lento apha ukuba ibingu-6

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siyibonile kumgca ongentla

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siyibonile ukuba ngu-6, kungoko ke singathi, u-2 phinda-phinda ngo-4

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izakuba 6 dibanisa 2, lonto yenze u-8

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futhi ndiyathemba ukuba uyayibona lonto.

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njengoba sisuka ku 2 phinda-phinda ngo-2, siye ku-2 phinda-phinda ngo-2,

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ukuya ku-2 phinda phinda 3, yintoni eyenzekayo?

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Sinyuka ngenani elingakanani?

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ukusuka ku-2 ukuya ku-4 sinyuka ngokongeza u-2

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ukusuka ku-4 ukuya ku-6 sinyuke ngokongeza u-2

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futhi ke ukusuka ku-6 ukuya ku-8 sinyuke ngokongeza u-2

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ngoko ke ungakwazi ukufumana ukuba ngubani u-2 phinda-phinda ngo -5,

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nangaphandle kokwenza udibaniso

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u-2 phindaphinda ngo-5 ulingana no 2 dibanisa 2 dibanisa 2 dibanisa 2 dibanisa 2.

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isenokubhalwa ngoluhlobo lokuba ngu -5 dibanisa 5

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u-2 phinda-phinda ngo-4 ebenokubhalwa ngoluhlobo, 4 dibanisa 4

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lonto zenza ntoni?

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singazidibanisa zonke ezi okanye singongeza u-2

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okanye singathi izawuba ngu-2 phindaphinda ngo-4 songeze u-2

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ngoko ke ibengu-10

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ndizakuligqiba ukuhlu lophinda-phindo luka-2

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ndicinga ukuba uyawubona umfuziselo ovelayo apha.

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ngoko u-2 phinda-phinda ngo-6

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izawubangu ngu-2 dibanisa 2 kathandathu.

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Masibone. 1,2, 3, 4, 5, 6,

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ekufaneleke ilingane no-6 dibanisa

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lento ingatolikwa nangeyiphina indlela.

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futhi ke izawulingana no-12.

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kwakhona, u-2 umphinda phinde kayi-5 wongeze u-2

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ngoba songeza u-2 ku-2 kwakhona

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ngoko ke izawubanochatha ngo-2

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masiqhubeke.

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u-2 umphindaphinde ngo-7.

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u-2 umphindaphinde ngo -7 ngu--

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singabhala u-2 dibanisa 2 dibanisa 2 dibanisa 2--

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lento ingxamele ukudina-- dibanisa 2 dibanisa 2.

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ingaba ngu-7?

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1, 2, 3, 4, 5, 6, 7.

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lonto ke iyafana nqwa no -7 dibanisa 7,

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lento ke ungayazi okanye ungayazi ukuba ilingana no-14

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ungathi nje haybo, izawuba ngu-12 dibanisa 2

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ngoko ke u-12 dibanisa 1 dibanisa 2 ngu-- u-12 dibanisa 1 ngu-13.

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u-12 dibanisa 2 ngu-14

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kulungile ke masiqhubekeke.

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u-2 umphindaphinde ngo-8

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ndingayenza yonke lento ngokongeza oo-2

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okanye ndingathi, jonga, izawuba ngu-2 phinda-phinda ngo-7 dibanisa -2

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ke ndingathi izawuba ngu -14 dibanisa 2

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ndongeza nje u-2 kuleya

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ngoko ndingthi ngu -16

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okanye ndingathi futhi ngu-8 dibanisa 8

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nayo ngu-16

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bendingenza ngoo-2 bodwa

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kodwa ungayenza wena ukuba yindlela onakwazi uyifunda ngayo.

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sesisondele--singaqhubekeka okokoko

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ngoba akukho nani likhulu.

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ndingaqhubekeka

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u-2 phinda-phinda 9 phinda phinda 10 phinda-phinda 100 phinda phinda 100 phinda phinda 1000000

00:05:24.980 --> 00:05:26.642
kodwa ndizawuma apha ku-12

00:05:26.642 --> 00:05:28.760
ngoba abantu bavame ukunkqaya baphelele apha

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kodwa ukuba ufuna ukuba yi "mathelete"

00:05:32.330 --> 00:05:34.260
ufuna ukuya phezulu ku-20

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kodwa ke masiye ku-2 phinda-phinda ngo-9

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izawuba ngu -2 phinda phinda ngo -8 songeze u-2

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izawuba ngu-18

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okanye ngu-9 dibanisa 9

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ikwangu-18

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ngubani u -2 phinda phinda ngo-10

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futhi ke uluhlu lophinda phindo luka-10 lunika umdla kakhulu.

00:05:47.940 --> 00:05:49.550
futhi ke emizuzwini nje embalwa sizawubona umfuziselo

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xasizama ukugqiba lonke uluhlu lophinda phindo

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ngoko ke ngubani u -2 phinda phinda ngo 10

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u-2 phinda phinda 9 dibanisa -2

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ngu-20

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okanye singathi ngu -10 dibanisa 10.

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u-10 dibanisa ngomnye u-10

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ngoku ke yintoni enika umdla apha?

00:06:05.060 --> 00:06:09.115
lento ikhangeleka njengathi ngu-2 ekongezelelwe u-0

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futhi uzawuyibona lonto yonke into oyiphinda phinda ngo-10,

00:06:10.690 --> 00:06:12.295
uthatha nje ngobeka iqanda ekunene

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futhi ungacinga ke ukuba kutheni injalo

00:06:14.130 --> 00:06:16.410
ungayivelela ngokuthi oo-2 abayi-10 ngu -20

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kungoko ingu -20

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sesizawugqiba

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masenze u-2 phinda phinda ngo-11

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u-2 phinda phinda 11 sizakongeza u-2 apha

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izawuba ngu-22

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omnye umfuziselo onika umdla.

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ndinenani eliphinda phindeka kabani--u -2 no-2

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inika umdla.

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into ekumele uyijonge

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njengoba sijonga olunye uluhlu lophinda phindo.

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okokugqibela kengoku--

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futhi ayiyoyokugqibela, singaqhubekeka--

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u-2 phinda phinda-- lowo ngumbala omnyama.

00:06:44.682 --> 00:06:47.059
u-2 phinda-phinda ngo 12

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u-2 phinda phinda ngo-12 izawuba ngu-2 phinda phinda ngo-12 songeze u-2

00:06:50.550 --> 00:06:51.826
lowo ke ngu -24

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besinoyibhala ngalendlela yokuthi 12 dibanisa 12

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okanye besingathi 2 dibanisa 2 dibanisa 2 dibanisa 2

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dibanisa 2...kalishumi elinambini

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yonke lonto ikunika u-24

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leyo ke luluhlu lophinda phindo luka-2

00:07:00.961 --> 00:07:01.970
futhi ndiyacinga ukuba uyalubona ufuziselo.

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lonke ixesha uphinda phinda ngenani elingaphezulu

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wongeza nje u-2 kwelonani

00:07:06.680 --> 00:07:08.748
ngoko ke siyalibona ufuziselo,

00:07:08.748 --> 00:07:11.950
masibone ukuba singaligqiba uluhlu lophinda phindo.

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ngoko ke into endizawuyenza ngoku, ndizawubhala onke amanani.

00:07:16.270 --> 00:07:18.485
masibone.

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ndiyathemba ukuba ndinayo indawo yalento

00:07:19.361 --> 00:07:29.430
1, 2, 3, 4, 5, 6, 7, 8, 9.

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ngokwenene, ndizakuyenza de ibengu-9

00:07:30.920 --> 00:07:31.830
ndizawuqhubeka nje

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9

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ngokwenene andizubanandawo yokuyenza lonto

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ngoba ndifuna ulibone lonke uluhlu

00:07:35.680 --> 00:07:37.045
ngoko ke ndizokwenza ndiyokufika ku-9

00:07:37.045 --> 00:07:39.590
kodwa ndiyakhuthaza ukuba emva kwalomboniso uqhubekeke ugqibezele.

00:07:39.600 --> 00:07:42.880
mhlawumbi ukuba besinexesha bendizakuyigqibezela apha nayo

00:07:42.880 --> 00:07:45.887
ngoko ke ezi ngamanani okuqala endizakuwaphinda phinda

00:07:45.887 --> 00:07:52.060
futhi ndizakuwaphinda phinda ngo 1, 2, 3, 4,

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5, 6, 7, 8, no 9

00:07:57.650 --> 00:08:00.183
into endizakuyenza yile, ndiza--

00:08:00.183 --> 00:08:01.298
okokuqala--

00:08:01.298 --> 00:08:03.321
ngokwenene bekufanele ndibhale le ngaphantsi--

00:08:03.321 --> 00:08:04.710
ngubani u-1 phinda phinda ngo-1

00:08:04.720 --> 00:08:06.110
lena ke yindlela endizakuyiveza ngayo.

00:08:06.120 --> 00:08:08.730
nayiphina into engu-1 phinda-phinda 1 ndizayibhala apha

00:08:08.730 --> 00:08:09.970
ngoko lo ngu-1

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ngubani u -1 phinda phinda -2?

00:08:11.510 --> 00:08:12.400
ngu-2 lowo

00:08:12.410 --> 00:08:13.730
ngubani u-1 phinda phinda 3?

00:08:13.740 --> 00:08:14.360
ngu-3

00:08:14.360 --> 00:08:15.866
onke amanani owaphinda phinda ngo-1 lelonani

00:08:15.866 --> 00:08:21.360
ngoko ke ndingabhala nje 4, 5, 6, 7, 8, 9.

00:08:21.370 --> 00:08:23.540
u-1 phinda phinda ngo9 ngu-9.

00:08:23.540 --> 00:08:24.540
kuyavakala.

00:08:24.540 --> 00:08:26.300
ngoku ke masenze uluhlu lophinda-phindo luka-2

00:08:26.310 --> 00:08:27.570
ndizawlenza lona ngombala owohlukileyo

00:08:27.570 --> 00:08:30.270
ngokwenene

00:08:30.285 --> 00:08:33.980
ngoku ke mhlawumbi mandisebenzise umbala ongathi untsundu ukwenza uluhlu lophinda phindo luka -2

00:08:33.990 --> 00:08:35.250
ngubani u-2 phinda phinda ngo 1

00:08:35.250 --> 00:08:36.430
ngu-2

00:08:36.440 --> 00:08:37.690
iyafana no 1 phinda phinda ngo-2

00:08:37.700 --> 00:08:40.000
qaphela, lamanani mabini yintwenye.

00:08:40.000 --> 00:08:41.700
ngubani u-2 phinda ngo-2?

00:08:41.710 --> 00:08:43.000
ngu-4

00:08:43.000 --> 00:08:44.610
u-2 phinda phinda ngo-3 ngu-6

00:08:44.620 --> 00:08:45.840
sisandoyenza lento.

00:08:45.840 --> 00:08:49.821
lonke ixesha kukho ulwandiso or uphindaphindo ngenani eliphezulu,

00:08:49.821 --> 00:08:51.190
wongeza nje u-2.

00:08:51.190 --> 00:08:52.840
u-2 phinda phinda ngo- 4 ngu -8

00:08:52.850 --> 00:08:55.110
yinto efanayo no-4 phinda phinda ngo-2.

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u-2 phinda phinda ngo-5 ngu-10.

00:08:57.260 --> 00:08:59.010
u-2 phinda phinda -6 ngu -12

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ndongeza nje u-2 ngalolonke ixesha.

00:09:00.670 --> 00:09:03.970
phaya ngentla bendisangeza u-1, apha ndongeza u-2.

00:09:03.980 --> 00:09:06.830
u-2 phinda phinda ngo-7 ngu -14.

00:09:06.830 --> 00:09:09.813
u-2 phinda phinda ngu -16

00:09:09.813 --> 00:09:12.970
u-2 phinda phinda -9 ngu -18

00:09:12.980 --> 00:09:17.789
kulungile, masenze uluhlu lophinda phindo luka -3

00:09:17.789 --> 00:09:20.508
ndizawulenza ngombala otyheli.

00:09:20.508 --> 00:09:21.783
tyheli

00:09:21.783 --> 00:09:23.828
u-3 phinda phinda 1 ngu - 3

00:09:23.828 --> 00:09:25.350
qaphela, u-3 phinda phinda -1 ngu -3

00:09:25.360 --> 00:09:26.910
u-1 phinda phinda 3 ngu -3

00:09:26.910 --> 00:09:28.740
lamanani ayafana ngokomgangatho

00:09:28.750 --> 00:09:32.158
u-3 phinda phinda 2 uyafana no -2 phinda phinda ngo-3

00:09:32.158 --> 00:09:37.640
u-3 phinda phinda 2 kufuneka afane no -2 phinda phinda -3

00:09:37.640 --> 00:09:39.680
ngoko ke ngu-6.

00:09:39.690 --> 00:09:40.485
futhi ke lonto iyavakala.

00:09:40.485 --> 00:09:45.690
u-3 dibanisa 3 ngu -6 okanye u-2 dibanisa 2 dibanisa 2 ngu-6.

00:09:45.690 --> 00:09:47.780
ngoko ke apha sizakwenyuka qho ngo-3

00:09:47.780 --> 00:09:48.880
uyawubona umfuziselo.

00:09:48.880 --> 00:09:51.000
u-3 phinda phinda ngo-3 ngu-9

00:09:51.010 --> 00:09:52.852
u-3 dibanisa 3 dibanisa 3

00:09:52.852 --> 00:09:54.725
ngoko ke sisuke ku-3 saya ku-6 saya ku-9

00:09:54.736 --> 00:09:57.001
ngoko ke u-3 phinda phinda ngo 4 izawuba ngu-12

00:09:57.001 --> 00:09:58.850
ndongeza nje u-3 ngalolonke ixesha.

00:09:58.850 --> 00:10:00.642
u-12 dibanisa -3 ngu 15

00:10:00.642 --> 00:10:03.404
u-15 dibanisa -3 ngu -18

00:10:03.404 --> 00:10:05.580
u-18 dibanisa -3 ngu -21.

00:10:05.580 --> 00:10:08.080
u-21 dibanisa 3 ngu -24

00:10:08.090 --> 00:10:10.500
u-24 dibanisa 3 ngu -27

00:10:10.500 --> 00:10:13.110
ngoko ke u -3 phinda phinda -9 ngu -27

00:10:13.120 --> 00:10:14.840
u-3 phinda-phinda -8 ngu -24

00:10:14.840 --> 00:10:19.094
ukuba ubunothi 8 dibanisa 8 dibanisa 8, ibizabangu 24

00:10:19.094 --> 00:10:20.180
masibone ukuba ndingakwazi na--

00:10:20.180 --> 00:10:21.544
ngoku ke ndizakuyikhawulezisa kancinci nje,

00:10:21.544 --> 00:10:22.830
njengokuba siwubona umfuziselo

00:10:22.840 --> 00:10:24.088
futhi kufuneka uyenze ngokwakho lento

00:10:24.088 --> 00:10:26.970
kufuneka uyinkqaye yonke into esiyenzayo.

00:10:26.980 --> 00:10:30.495
kufuneka ngokwenene wenze uyofika ku-12 kumacala omabini,

00:10:30.495 --> 00:10:31.057
ngoko ke masibone.

00:10:31.057 --> 00:10:35.330
u-4 phinda phinda ngo-1 ngu 4.

00:10:35.330 --> 00:10:37.640
ndizakuyenza lena ngokwangeza u-4 nje.

00:10:37.640 --> 00:10:40.080
u-4dibanisa -4 ngu-8.

00:10:40.090 --> 00:10:41.960
u-8 dibanisa -4 ngu-12

00:10:41.970 --> 00:10:43.920
u-12 dibanisa 4 ngu 16

00:10:43.920 --> 00:10:46.450
u-16 dibanisa 4 ngu 20

00:10:46.460 --> 00:10:48.460
u-20 dibanisa 4 ngu-24

00:10:48.460 --> 00:10:51.460
u-4 phinda phinda ngo-6 ngu -24.

00:10:51.470 --> 00:10:52.970
u-4 phinda phinda -7, ngu-28

00:10:52.980 --> 00:10:54.250
ndinyuka nje ngo-4.

00:10:54.250 --> 00:10:58.740
ngu-32 no 36.

00:10:58.750 --> 00:11:01.490
kulungile, u-5 phinda phinda ngo 1.

00:11:01.490 --> 00:11:06.670
u -5 phinda phinda 1 izawuba ngu 5

00:11:06.670 --> 00:11:09.565
ngokwenene, siyayazi yone into e--kulungile, ndifuna siqhubekeke nokutshintsha imibala

00:11:09.565 --> 00:11:11.400
lonto ndizakuyenza kwimiqolo enjengale

00:11:11.410 --> 00:11:12.570
u-5 phinda phinda ngo -1 ngu -5

00:11:12.580 --> 00:11:15.780
u-5 phinda phinda ngo-2 ngu 10

00:11:15.780 --> 00:11:17.260
u-5 phinda phinda ngo-3 ngu 15

00:11:17.260 --> 00:11:18.430
ndizawukwenyuka ngo-5 ngoku..

00:11:18.440 --> 00:11:20.687
uluhlu lophinda phindo luka -5 luyonwabisa kakhulu nalo

00:11:20.687 --> 00:11:24.120
ngoba kuwo onke amanani uzokongeza--ukuba siphinda phinda kahlanu

00:11:24.120 --> 00:11:25.870
bamba ke, sizakufunda nge

00:11:25.880 --> 00:11:30.241
kodwa ke onke manye amanani kuluhlu lwawo agqibela ngo-5

00:11:30.241 --> 00:11:32.240
zonke ke ezinye zigqibela ngo- 0

00:11:32.250 --> 00:11:34.790
ngoba xa udibanisa u-5 ku 15 ufumana u-20.

00:11:34.790 --> 00:11:41.871
ufumana u-25, 30, 35, 40, 45.

00:11:41.871 --> 00:11:43.380
haynoko

00:11:43.380 --> 00:11:47.120
uluhlu luka -6, mandilenze olu ngombala ohlaza

00:11:47.120 --> 00:11:48.210
u-6 phinda phinda ngo -1 ngu -6

00:11:48.220 --> 00:11:49.080
ilula leyo

00:11:49.080 --> 00:11:50.800
xa usangeza u-6 apho, ufumana u-12.

00:11:50.800 --> 00:11:52.490
xa usangeza u-6 apho, ufumana u-18

00:11:52.500 --> 00:11:54.250
xa usangeza u-6 apho ufumana u-24

00:11:54.250 --> 00:11:56.220
xa usangeza u-6 apho, ufumana u-30

00:11:56.220 --> 00:12:01.220
emveni koko wongeze u-6 kwakhona, 36, 42, 48.

00:12:01.220 --> 00:12:04.620
u-48 dibanisa -6 ngu 54.

00:12:04.620 --> 00:12:07.620
ngoko ke u 6 phinda phinda 9 ngu 54.

00:12:07.620 --> 00:12:08.990
kulungile, sezizokugqiba.

00:12:09.000 --> 00:12:11.610
7 phinda phinda 1, ngu 7 lowo.