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-2z+7=42+3z-5=
We move all terms to the left:
-2z+7-(42+3z-5)=0
We add all the numbers together, and all the variables
-2z-(3z+37)+7=0
We get rid of parentheses
-2z-3z-37+7=0
We add all the numbers together, and all the variables
-5z-30=0
We move all terms containing z to the left, all other terms to the right
-5z=30
z=30/-5
z=-6
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