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-4(3z-9)=2z-6
We move all terms to the left:
-4(3z-9)-(2z-6)=0
We multiply parentheses
-12z-(2z-6)+36=0
We get rid of parentheses
-12z-2z+6+36=0
We add all the numbers together, and all the variables
-14z+42=0
We move all terms containing z to the left, all other terms to the right
-14z=-42
z=-42/-14
z=+3
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