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3z+21=6z-6
We move all terms to the left:
3z+21-(6z-6)=0
We get rid of parentheses
3z-6z+6+21=0
We add all the numbers together, and all the variables
-3z+27=0
We move all terms containing z to the left, all other terms to the right
-3z=-27
z=-27/-3
z=+9
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