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4(z+7)=9z-2
We move all terms to the left:
4(z+7)-(9z-2)=0
We multiply parentheses
4z-(9z-2)+28=0
We get rid of parentheses
4z-9z+2+28=0
We add all the numbers together, and all the variables
-5z+30=0
We move all terms containing z to the left, all other terms to the right
-5z=-30
z=-30/-5
z=+6
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