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