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z-15=4z-3
We move all terms to the left:
z-15-(4z-3)=0
We get rid of parentheses
z-4z+3-15=0
We add all the numbers together, and all the variables
-3z-12=0
We move all terms containing z to the left, all other terms to the right
-3z=12
z=12/-3
z=-4
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