2p-3(2-3p)=6(p-5)-16

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Solution for 2p-3(2-3p)=6(p-5)-16 equation:



2p-3(2-3p)=6(p-5)-16
We move all terms to the left:
2p-3(2-3p)-(6(p-5)-16)=0
We add all the numbers together, and all the variables
2p-3(-3p+2)-(6(p-5)-16)=0
We multiply parentheses
2p+9p-(6(p-5)-16)-6=0
We calculate terms in parentheses: -(6(p-5)-16), so:
6(p-5)-16
We multiply parentheses
6p-30-16
We add all the numbers together, and all the variables
6p-46
Back to the equation:
-(6p-46)
We add all the numbers together, and all the variables
11p-(6p-46)-6=0
We get rid of parentheses
11p-6p+46-6=0
We add all the numbers together, and all the variables
5p+40=0
We move all terms containing p to the left, all other terms to the right
5p=-40
p=-40/5
p=-8

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