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2z+3=5z-12
We move all terms to the left:
2z+3-(5z-12)=0
We get rid of parentheses
2z-5z+12+3=0
We add all the numbers together, and all the variables
-3z+15=0
We move all terms containing z to the left, all other terms to the right
-3z=-15
z=-15/-3
z=+5
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