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7-(4z-9)=8-5z
We move all terms to the left:
7-(4z-9)-(8-5z)=0
We add all the numbers together, and all the variables
-(4z-9)-(-5z+8)+7=0
We get rid of parentheses
-4z+5z+9-8+7=0
We add all the numbers together, and all the variables
z+8=0
We move all terms containing z to the left, all other terms to the right
z=-8
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