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3z/8=4
We move all terms to the left:
3z/8-(4)=0
We multiply all the terms by the denominator
3z-4*8=0
We add all the numbers together, and all the variables
3z-32=0
We move all terms containing z to the left, all other terms to the right
3z=32
z=32/3
z=10+2/3
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