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6=5-z/3
We move all terms to the left:
6-(5-z/3)=0
We add all the numbers together, and all the variables
-(-z/3+5)+6=0
We get rid of parentheses
z/3-5+6=0
We multiply all the terms by the denominator
z-5*3+6*3=0
We add all the numbers together, and all the variables
z+3=0
We move all terms containing z to the left, all other terms to the right
z=-3
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