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-7-9z=-7z-5
We move all terms to the left:
-7-9z-(-7z-5)=0
We get rid of parentheses
-9z+7z+5-7=0
We add all the numbers together, and all the variables
-2z-2=0
We move all terms containing z to the left, all other terms to the right
-2z=2
z=2/-2
z=-1
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