8p-4(p-4)=-12-(p-8)

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Solution for 8p-4(p-4)=-12-(p-8) equation: 


Simplifying
8p + -4(p + -4) = -12 + -1(p + -8)

Reorder the terms:
8p + -4(-4 + p) = -12 + -1(p + -8)
8p + (-4 * -4 + p * -4) = -12 + -1(p + -8)
8p + (16 + -4p) = -12 + -1(p + -8)

Reorder the terms:
16 + 8p + -4p = -12 + -1(p + -8)

Combine like terms: 8p + -4p = 4p
16 + 4p = -12 + -1(p + -8)

Reorder the terms:
16 + 4p = -12 + -1(-8 + p)
16 + 4p = -12 + (-8 * -1 + p * -1)
16 + 4p = -12 + (8 + -1p)

Combine like terms: -12 + 8 = -4
16 + 4p = -4 + -1p

Solving
16 + 4p = -4 + -1p

Solving for variable 'p'.

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

Add 'p' to each side of the equation.
16 + 4p + p = -4 + -1p + p

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

Combine like terms: -1p + p = 0
16 + 5p = -4 + 0
16 + 5p = -4

Add '-16' to each side of the equation.
16 + -16 + 5p = -4 + -16

Combine like terms: 16 + -16 = 0
0 + 5p = -4 + -16
5p = -4 + -16

Combine like terms: -4 + -16 = -20
5p = -20

Divide each side by '5'.
p = -4

Simplifying
p = -4

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