-4(4p+2)-12=3(2p+8)

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Solution for -4(4p+2)-12=3(2p+8) equation: 


Simplifying
-4(4p + 2) + -12 = 3(2p + 8)

Reorder the terms:
-4(2 + 4p) + -12 = 3(2p + 8)
(2 * -4 + 4p * -4) + -12 = 3(2p + 8)
(-8 + -16p) + -12 = 3(2p + 8)

Reorder the terms:
-8 + -12 + -16p = 3(2p + 8)

Combine like terms: -8 + -12 = -20
-20 + -16p = 3(2p + 8)

Reorder the terms:
-20 + -16p = 3(8 + 2p)
-20 + -16p = (8 * 3 + 2p * 3)
-20 + -16p = (24 + 6p)

Solving
-20 + -16p = 24 + 6p

Solving for variable 'p'.

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

Add '-6p' to each side of the equation.
-20 + -16p + -6p = 24 + 6p + -6p

Combine like terms: -16p + -6p = -22p
-20 + -22p = 24 + 6p + -6p

Combine like terms: 6p + -6p = 0
-20 + -22p = 24 + 0
-20 + -22p = 24

Add '20' to each side of the equation.
-20 + 20 + -22p = 24 + 20

Combine like terms: -20 + 20 = 0
0 + -22p = 24 + 20
-22p = 24 + 20

Combine like terms: 24 + 20 = 44
-22p = 44

Divide each side by '-22'.
p = -2

Simplifying
p = -2

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