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9z+15=7z+30
We move all terms to the left:
9z+15-(7z+30)=0
We get rid of parentheses
9z-7z-30+15=0
We add all the numbers together, and all the variables
2z-15=0
We move all terms containing z to the left, all other terms to the right
2z=15
z=15/2
z=7+1/2
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