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4p+7=9-3p/6
We move all terms to the left:
4p+7-(9-3p/6)=0
We add all the numbers together, and all the variables
4p-(-3p/6+9)+7=0
We get rid of parentheses
4p+3p/6-9+7=0
We multiply all the terms by the denominator
4p*6+3p-9*6+7*6=0
We add all the numbers together, and all the variables
3p+4p*6-12=0
Wy multiply elements
3p+24p-12=0
We add all the numbers together, and all the variables
27p-12=0
We move all terms containing p to the left, all other terms to the right
27p=12
p=12/27
p=4/9
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