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5(z-3)=-7z+2
We move all terms to the left:
5(z-3)-(-7z+2)=0
We multiply parentheses
5z-(-7z+2)-15=0
We get rid of parentheses
5z+7z-2-15=0
We add all the numbers together, and all the variables
12z-17=0
We move all terms containing z to the left, all other terms to the right
12z=17
z=17/12
z=1+5/12
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