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6z+4=-7z+82
We move all terms to the left:
6z+4-(-7z+82)=0
We get rid of parentheses
6z+7z-82+4=0
We add all the numbers together, and all the variables
13z-78=0
We move all terms containing z to the left, all other terms to the right
13z=78
z=78/13
z=6
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