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4z/6=3
We move all terms to the left:
4z/6-(3)=0
We multiply all the terms by the denominator
4z-3*6=0
We add all the numbers together, and all the variables
4z-18=0
We move all terms containing z to the left, all other terms to the right
4z=18
z=18/4
z=4+1/2
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