7(p+8)-8p=2-(5p+6)

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Solution for 7(p+8)-8p=2-(5p+6) equation: 


Simplifying
7(p + 8) + -8p = 2 + -1(5p + 6)

Reorder the terms:
7(8 + p) + -8p = 2 + -1(5p + 6)
(8 * 7 + p * 7) + -8p = 2 + -1(5p + 6)
(56 + 7p) + -8p = 2 + -1(5p + 6)

Combine like terms: 7p + -8p = -1p
56 + -1p = 2 + -1(5p + 6)

Reorder the terms:
56 + -1p = 2 + -1(6 + 5p)
56 + -1p = 2 + (6 * -1 + 5p * -1)
56 + -1p = 2 + (-6 + -5p)

Combine like terms: 2 + -6 = -4
56 + -1p = -4 + -5p

Solving
56 + -1p = -4 + -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.
56 + -1p + 5p = -4 + -5p + 5p

Combine like terms: -1p + 5p = 4p
56 + 4p = -4 + -5p + 5p

Combine like terms: -5p + 5p = 0
56 + 4p = -4 + 0
56 + 4p = -4

Add '-56' to each side of the equation.
56 + -56 + 4p = -4 + -56

Combine like terms: 56 + -56 = 0
0 + 4p = -4 + -56
4p = -4 + -56

Combine like terms: -4 + -56 = -60
4p = -60

Divide each side by '4'.
p = -15

Simplifying
p = -15

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