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-5z-12=2z+7
We move all terms to the left:
-5z-12-(2z+7)=0
We get rid of parentheses
-5z-2z-7-12=0
We add all the numbers together, and all the variables
-7z-19=0
We move all terms containing z to the left, all other terms to the right
-7z=19
z=19/-7
z=-2+5/7
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