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5z+7=12z-2
We move all terms to the left:
5z+7-(12z-2)=0
We get rid of parentheses
5z-12z+2+7=0
We add all the numbers together, and all the variables
-7z+9=0
We move all terms containing z to the left, all other terms to the right
-7z=-9
z=-9/-7
z=1+2/7
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