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7z-29=-47+z
We move all terms to the left:
7z-29-(-47+z)=0
We add all the numbers together, and all the variables
7z-(z-47)-29=0
We get rid of parentheses
7z-z+47-29=0
We add all the numbers together, and all the variables
6z+18=0
We move all terms containing z to the left, all other terms to the right
6z=-18
z=-18/6
z=-3
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