2(p+8)-8p=-5p-2(2+3p)

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Solution for 2(p+8)-8p=-5p-2(2+3p) equation: 


Simplifying
2(p + 8) + -8p = -5p + -2(2 + 3p)

Reorder the terms:
2(8 + p) + -8p = -5p + -2(2 + 3p)
(8 * 2 + p * 2) + -8p = -5p + -2(2 + 3p)
(16 + 2p) + -8p = -5p + -2(2 + 3p)

Combine like terms: 2p + -8p = -6p
16 + -6p = -5p + -2(2 + 3p)
16 + -6p = -5p + (2 * -2 + 3p * -2)
16 + -6p = -5p + (-4 + -6p)

Reorder the terms:
16 + -6p = -4 + -5p + -6p

Combine like terms: -5p + -6p = -11p
16 + -6p = -4 + -11p

Solving
16 + -6p = -4 + -11p

Solving for variable 'p'.

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

Add '11p' to each side of the equation.
16 + -6p + 11p = -4 + -11p + 11p

Combine like terms: -6p + 11p = 5p
16 + 5p = -4 + -11p + 11p

Combine like terms: -11p + 11p = 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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