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21+7(z-3)=6z+5=
We move all terms to the left:
21+7(z-3)-(6z+5)=0
We multiply parentheses
7z-(6z+5)-21+21=0
We get rid of parentheses
7z-6z-5-21+21=0
We add all the numbers together, and all the variables
z-5=0
We move all terms containing z to the left, all other terms to the right
z=5
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