(7)z=5(z-10)+3

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Solution for (7)z=5(z-10)+3 equation: 



(7)z=5(z-10)+3

We move all terms to the left:

(7)z-(5(z-10)+3)=0



We calculate terms in parentheses: -(5(z-10)+3), so:

5(z-10)+3

We multiply parentheses

5z-50+3

We add all the numbers together, and all the variables

5z-47

Back to the equation:

-(5z-47)



We get rid of parentheses

7z-5z+47=0

We add all the numbers together, and all the variables

2z+47=0

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

2z=-47

z=-47/2

z=-23+1/2

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