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4z-11=-3z+10
We move all terms to the left:
4z-11-(-3z+10)=0
We get rid of parentheses
4z+3z-10-11=0
We add all the numbers together, and all the variables
7z-21=0
We move all terms containing z to the left, all other terms to the right
7z=21
z=21/7
z=3
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