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8-(3z-3)=5-4z
We move all terms to the left:
8-(3z-3)-(5-4z)=0
We add all the numbers together, and all the variables
-(3z-3)-(-4z+5)+8=0
We get rid of parentheses
-3z+4z+3-5+8=0
We add all the numbers together, and all the variables
z+6=0
We move all terms containing z to the left, all other terms to the right
z=-6
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