3p-2(p-8)=-4(p+2)-p

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Solution for 3p-2(p-8)=-4(p+2)-p equation: 


Simplifying
3p + -2(p + -8) = -4(p + 2) + -1p

Reorder the terms:
3p + -2(-8 + p) = -4(p + 2) + -1p
3p + (-8 * -2 + p * -2) = -4(p + 2) + -1p
3p + (16 + -2p) = -4(p + 2) + -1p

Reorder the terms:
16 + 3p + -2p = -4(p + 2) + -1p

Combine like terms: 3p + -2p = 1p
16 + 1p = -4(p + 2) + -1p

Reorder the terms:
16 + 1p = -4(2 + p) + -1p
16 + 1p = (2 * -4 + p * -4) + -1p
16 + 1p = (-8 + -4p) + -1p

Combine like terms: -4p + -1p = -5p
16 + 1p = -8 + -5p

Solving
16 + 1p = -8 + -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.
16 + 1p + 5p = -8 + -5p + 5p

Combine like terms: 1p + 5p = 6p
16 + 6p = -8 + -5p + 5p

Combine like terms: -5p + 5p = 0
16 + 6p = -8 + 0
16 + 6p = -8

Add '-16' to each side of the equation.
16 + -16 + 6p = -8 + -16

Combine like terms: 16 + -16 = 0
0 + 6p = -8 + -16
6p = -8 + -16

Combine like terms: -8 + -16 = -24
6p = -24

Divide each side by '6'.
p = -4

Simplifying
p = -4

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