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5p+8=10p-12
We move all terms to the left:
5p+8-(10p-12)=0
We get rid of parentheses
5p-10p+12+8=0
We add all the numbers together, and all the variables
-5p+20=0
We move all terms containing p to the left, all other terms to the right
-5p=-20
p=-20/-5
p=+4
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