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3z+7=8z+3=
We move all terms to the left:
3z+7-(8z+3)=0
We get rid of parentheses
3z-8z-3+7=0
We add all the numbers together, and all the variables
-5z+4=0
We move all terms containing z to the left, all other terms to the right
-5z=-4
z=-4/-5
z=4/5
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