-3(-2-p)-1(-4)-1(-5p-6)=-3-(-2p)

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Solution for -3(-2-p)-1(-4)-1(-5p-6)=-3-(-2p) equation:


Simplifying
-3(-2 + -1p) + -1(-4) + -1(-5p + -6) = -3 + -1(-2p)
(-2 * -3 + -1p * -3) + -1(-4) + -1(-5p + -6) = -3 + -1(-2p)
(6 + 3p) + -1(-4) + -1(-5p + -6) = -3 + -1(-2p)

Multiply -1 * -4
6 + 3p + 4 + -1(-5p + -6) = -3 + -1(-2p)

Reorder the terms:
6 + 3p + 4 + -1(-6 + -5p) = -3 + -1(-2p)
6 + 3p + 4 + (-6 * -1 + -5p * -1) = -3 + -1(-2p)
6 + 3p + 4 + (6 + 5p) = -3 + -1(-2p)

Reorder the terms:
6 + 4 + 6 + 3p + 5p = -3 + -1(-2p)

Combine like terms: 6 + 4 = 10
10 + 6 + 3p + 5p = -3 + -1(-2p)

Combine like terms: 10 + 6 = 16
16 + 3p + 5p = -3 + -1(-2p)

Combine like terms: 3p + 5p = 8p
16 + 8p = -3 + -1(-2p)

Remove parenthesis around (-2p)
16 + 8p = -3 + -1 * -2p

Multiply -1 * -2
16 + 8p = -3 + 2p

Solving
16 + 8p = -3 + 2p

Solving for variable 'p'.

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

Add '-2p' to each side of the equation.
16 + 8p + -2p = -3 + 2p + -2p

Combine like terms: 8p + -2p = 6p
16 + 6p = -3 + 2p + -2p

Combine like terms: 2p + -2p = 0
16 + 6p = -3 + 0
16 + 6p = -3

Add '-16' to each side of the equation.
16 + -16 + 6p = -3 + -16

Combine like terms: 16 + -16 = 0
0 + 6p = -3 + -16
6p = -3 + -16

Combine like terms: -3 + -16 = -19
6p = -19

Divide each side by '6'.
p = -3.166666667

Simplifying
p = -3.166666667

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