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9p-10=7p+8
We move all terms to the left:
9p-10-(7p+8)=0
We get rid of parentheses
9p-7p-8-10=0
We add all the numbers together, and all the variables
2p-18=0
We move all terms containing p to the left, all other terms to the right
2p=18
p=18/2
p=9
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