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5p+22=3p+42
We move all terms to the left:
5p+22-(3p+42)=0
We get rid of parentheses
5p-3p-42+22=0
We add all the numbers together, and all the variables
2p-20=0
We move all terms containing p to the left, all other terms to the right
2p=20
p=20/2
p=10
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