p-(2p+5)-5(1-2p)=2(3+4p)-3(p-4)

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Solution for p-(2p+5)-5(1-2p)=2(3+4p)-3(p-4) equation: 


Simplifying
p + -1(2p + 5) + -5(1 + -2p) = 2(3 + 4p) + -3(p + -4)

Reorder the terms:
p + -1(5 + 2p) + -5(1 + -2p) = 2(3 + 4p) + -3(p + -4)
p + (5 * -1 + 2p * -1) + -5(1 + -2p) = 2(3 + 4p) + -3(p + -4)
p + (-5 + -2p) + -5(1 + -2p) = 2(3 + 4p) + -3(p + -4)
p + -5 + -2p + (1 * -5 + -2p * -5) = 2(3 + 4p) + -3(p + -4)
p + -5 + -2p + (-5 + 10p) = 2(3 + 4p) + -3(p + -4)

Reorder the terms:
-5 + -5 + p + -2p + 10p = 2(3 + 4p) + -3(p + -4)

Combine like terms: -5 + -5 = -10
-10 + p + -2p + 10p = 2(3 + 4p) + -3(p + -4)

Combine like terms: p + -2p = -1p
-10 + -1p + 10p = 2(3 + 4p) + -3(p + -4)

Combine like terms: -1p + 10p = 9p
-10 + 9p = 2(3 + 4p) + -3(p + -4)
-10 + 9p = (3 * 2 + 4p * 2) + -3(p + -4)
-10 + 9p = (6 + 8p) + -3(p + -4)

Reorder the terms:
-10 + 9p = 6 + 8p + -3(-4 + p)
-10 + 9p = 6 + 8p + (-4 * -3 + p * -3)
-10 + 9p = 6 + 8p + (12 + -3p)

Reorder the terms:
-10 + 9p = 6 + 12 + 8p + -3p

Combine like terms: 6 + 12 = 18
-10 + 9p = 18 + 8p + -3p

Combine like terms: 8p + -3p = 5p
-10 + 9p = 18 + 5p

Solving
-10 + 9p = 18 + 5p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-5p' to each side of the equation.
-10 + 9p + -5p = 18 + 5p + -5p

Combine like terms: 9p + -5p = 4p
-10 + 4p = 18 + 5p + -5p

Combine like terms: 5p + -5p = 0
-10 + 4p = 18 + 0
-10 + 4p = 18

Add '10' to each side of the equation.
-10 + 10 + 4p = 18 + 10

Combine like terms: -10 + 10 = 0
0 + 4p = 18 + 10
4p = 18 + 10

Combine like terms: 18 + 10 = 28
4p = 28

Divide each side by '4'.
p = 7

Simplifying
p = 7

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