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7-6z=3z-3
We move all terms to the left:
7-6z-(3z-3)=0
We get rid of parentheses
-6z-3z+3+7=0
We add all the numbers together, and all the variables
-9z+10=0
We move all terms containing z to the left, all other terms to the right
-9z=-10
z=-10/-9
z=1+1/9
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