-(2p-8)-6p=20+4(p+6)

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Solution for -(2p-8)-6p=20+4(p+6) equation:


Simplifying
-1(2p + -8) + -6p = 20 + 4(p + 6)

Reorder the terms:
-1(-8 + 2p) + -6p = 20 + 4(p + 6)
(-8 * -1 + 2p * -1) + -6p = 20 + 4(p + 6)
(8 + -2p) + -6p = 20 + 4(p + 6)

Combine like terms: -2p + -6p = -8p
8 + -8p = 20 + 4(p + 6)

Reorder the terms:
8 + -8p = 20 + 4(6 + p)
8 + -8p = 20 + (6 * 4 + p * 4)
8 + -8p = 20 + (24 + 4p)

Combine like terms: 20 + 24 = 44
8 + -8p = 44 + 4p

Solving
8 + -8p = 44 + 4p

Solving for variable 'p'.

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

Add '-4p' to each side of the equation.
8 + -8p + -4p = 44 + 4p + -4p

Combine like terms: -8p + -4p = -12p
8 + -12p = 44 + 4p + -4p

Combine like terms: 4p + -4p = 0
8 + -12p = 44 + 0
8 + -12p = 44

Add '-8' to each side of the equation.
8 + -8 + -12p = 44 + -8

Combine like terms: 8 + -8 = 0
0 + -12p = 44 + -8
-12p = 44 + -8

Combine like terms: 44 + -8 = 36
-12p = 36

Divide each side by '-12'.
p = -3

Simplifying
p = -3

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