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9z-8=5z+4
We move all terms to the left:
9z-8-(5z+4)=0
We get rid of parentheses
9z-5z-4-8=0
We add all the numbers together, and all the variables
4z-12=0
We move all terms containing z to the left, all other terms to the right
4z=12
z=12/4
z=3
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