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4z/2-6=2-3z/2
We move all terms to the left:
4z/2-6-(2-3z/2)=0
We add all the numbers together, and all the variables
4z/2-(-3z/2+2)-6=0
We get rid of parentheses
4z/2+3z/2-2-6=0
We multiply all the terms by the denominator
4z+3z-2*2-6*2=0
We add all the numbers together, and all the variables
7z-16=0
We move all terms containing z to the left, all other terms to the right
7z=16
z=16/7
z=2+2/7
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