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

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


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

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

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

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

Reorder the terms:
8 + 2p = -4 + -5p + -6p

Combine like terms: -5p + -6p = -11p
8 + 2p = -4 + -11p

Solving
8 + 2p = -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.
8 + 2p + 11p = -4 + -11p + 11p

Combine like terms: 2p + 11p = 13p
8 + 13p = -4 + -11p + 11p

Combine like terms: -11p + 11p = 0
8 + 13p = -4 + 0
8 + 13p = -4

Add '-8' to each side of the equation.
8 + -8 + 13p = -4 + -8

Combine like terms: 8 + -8 = 0
0 + 13p = -4 + -8
13p = -4 + -8

Combine like terms: -4 + -8 = -12
13p = -12

Divide each side by '13'.
p = -0.9230769231

Simplifying
p = -0.9230769231

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