6/7z-7=1/7z-2

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Solution for 6/7z-7=1/7z-2 equation: 



6/7z-7=1/7z-2

We move all terms to the left:

6/7z-7-(1/7z-2)=0



Domain of the equation: 7z!=0

z!=0/7

z!=0

z∈R





Domain of the equation: 7z-2)!=0

z∈R



We get rid of parentheses

6/7z-1/7z+2-7=0

We multiply all the terms by the denominator


2*7z-7*7z+6-1=0

We add all the numbers together, and all the variables

2*7z-7*7z+5=0

Wy multiply elements

14z-49z+5=0

We add all the numbers together, and all the variables

-35z+5=0

We move all terms containing z to the left, all other terms to the right

-35z=-5

z=-5/-35

z=1/7

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