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27=z/3+22
We move all terms to the left:
27-(z/3+22)=0
We get rid of parentheses
-z/3-22+27=0
We multiply all the terms by the denominator
-z-22*3+27*3=0
We add all the numbers together, and all the variables
-1z+15=0
We move all terms containing z to the left, all other terms to the right
-z=-15
z=-15/-1
z=+15
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