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2z+4=3z-7
We move all terms to the left:
2z+4-(3z-7)=0
We get rid of parentheses
2z-3z+7+4=0
We add all the numbers together, and all the variables
-1z+11=0
We move all terms containing z to the left, all other terms to the right
-z=-11
z=-11/-1
z=+11
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