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-6=(z)/(4)-3
We move all terms to the left:
-6-((z)/(4)-3)=0
We get rid of parentheses
-z/4+3-6=0
We multiply all the terms by the denominator
-z+3*4-6*4=0
We add all the numbers together, and all the variables
-1z-12=0
We move all terms containing z to the left, all other terms to the right
-z=12
z=12/-1
z=-12
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