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-3z=8+2z-12
We move all terms to the left:
-3z-(8+2z-12)=0
We add all the numbers together, and all the variables
-3z-(2z-4)=0
We get rid of parentheses
-3z-2z+4=0
We add all the numbers together, and all the variables
-5z+4=0
We move all terms containing z to the left, all other terms to the right
-5z=-4
z=-4/-5
z=4/5
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