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