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5(2p-13)=17p+12
We move all terms to the left:
5(2p-13)-(17p+12)=0
We multiply parentheses
10p-(17p+12)-65=0
We get rid of parentheses
10p-17p-12-65=0
We add all the numbers together, and all the variables
-7p-77=0
We move all terms containing p to the left, all other terms to the right
-7p=77
p=77/-7
p=-11
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