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2(z-3)-5=3z-54
We move all terms to the left:
2(z-3)-5-(3z-54)=0
We multiply parentheses
2z-(3z-54)-6-5=0
We get rid of parentheses
2z-3z+54-6-5=0
We add all the numbers together, and all the variables
-1z+43=0
We move all terms containing z to the left, all other terms to the right
-z=-43
z=-43/-1
z=+43
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