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3(z-4)-6(2z-3)=12-7z
We move all terms to the left:
3(z-4)-6(2z-3)-(12-7z)=0
We add all the numbers together, and all the variables
3(z-4)-6(2z-3)-(-7z+12)=0
We multiply parentheses
3z-12z-(-7z+12)-12+18=0
We get rid of parentheses
3z-12z+7z-12-12+18=0
We add all the numbers together, and all the variables
-2z-6=0
We move all terms containing z to the left, all other terms to the right
-2z=6
z=6/-2
z=-3
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