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7z=12z-50
We move all terms to the left:
7z-(12z-50)=0
We get rid of parentheses
7z-12z+50=0
We add all the numbers together, and all the variables
-5z+50=0
We move all terms containing z to the left, all other terms to the right
-5z=-50
z=-50/-5
z=+10
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