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8-(2z-2)=7-3z
We move all terms to the left:
8-(2z-2)-(7-3z)=0
We add all the numbers together, and all the variables
-(2z-2)-(-3z+7)+8=0
We get rid of parentheses
-2z+3z+2-7+8=0
We add all the numbers together, and all the variables
z+3=0
We move all terms containing z to the left, all other terms to the right
z=-3
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