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3z-47=4z-71
We move all terms to the left:
3z-47-(4z-71)=0
We get rid of parentheses
3z-4z+71-47=0
We add all the numbers together, and all the variables
-1z+24=0
We move all terms containing z to the left, all other terms to the right
-z=-24
z=-24/-1
z=+24
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