2p-4(5-2p)=6(p-2)-16

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Solution for 2p-4(5-2p)=6(p-2)-16 equation:



2p-4(5-2p)=6(p-2)-16
We move all terms to the left:
2p-4(5-2p)-(6(p-2)-16)=0
We add all the numbers together, and all the variables
2p-4(-2p+5)-(6(p-2)-16)=0
We multiply parentheses
2p+8p-(6(p-2)-16)-20=0
We calculate terms in parentheses: -(6(p-2)-16), so:
6(p-2)-16
We multiply parentheses
6p-12-16
We add all the numbers together, and all the variables
6p-28
Back to the equation:
-(6p-28)
We add all the numbers together, and all the variables
10p-(6p-28)-20=0
We get rid of parentheses
10p-6p+28-20=0
We add all the numbers together, and all the variables
4p+8=0
We move all terms containing p to the left, all other terms to the right
4p=-8
p=-8/4
p=-2

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