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5p+1=2p+22
We move all terms to the left:
5p+1-(2p+22)=0
We get rid of parentheses
5p-2p-22+1=0
We add all the numbers together, and all the variables
3p-21=0
We move all terms containing p to the left, all other terms to the right
3p=21
p=21/3
p=7
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