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