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8z=9z+8
We move all terms to the left:
8z-(9z+8)=0
We get rid of parentheses
8z-9z-8=0
We add all the numbers together, and all the variables
-1z-8=0
We move all terms containing z to the left, all other terms to the right
-z=8
z=8/-1
z=-8
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