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3p+6=4p+7
We move all terms to the left:
3p+6-(4p+7)=0
We get rid of parentheses
3p-4p-7+6=0
We add all the numbers together, and all the variables
-1p-1=0
We move all terms containing p to the left, all other terms to the right
-p=1
p=1/-1
p=-1
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