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6-(2z-6)=6-3z
We move all terms to the left:
6-(2z-6)-(6-3z)=0
We add all the numbers together, and all the variables
-(2z-6)-(-3z+6)+6=0
We get rid of parentheses
-2z+3z+6-6+6=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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