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7.5z-2=8.5
We move all terms to the left:
7.5z-2-(8.5)=0
We add all the numbers together, and all the variables
7.5z-10.5=0
We move all terms containing z to the left, all other terms to the right
7.5z=10.5
z=10.5/7.5
z=1+3/7.5
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