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3(z-4)=7z+2
We move all terms to the left:
3(z-4)-(7z+2)=0
We multiply parentheses
3z-(7z+2)-12=0
We get rid of parentheses
3z-7z-2-12=0
We add all the numbers together, and all the variables
-4z-14=0
We move all terms containing z to the left, all other terms to the right
-4z=14
z=14/-4
z=-3+1/2
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