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

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


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

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

Reorder the terms:
8 + -2p = 3(12 + p)
8 + -2p = (12 * 3 + p * 3)
8 + -2p = (36 + 3p)

Solving
8 + -2p = 36 + 3p

Solving for variable 'p'.

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

Add '-3p' to each side of the equation.
8 + -2p + -3p = 36 + 3p + -3p

Combine like terms: -2p + -3p = -5p
8 + -5p = 36 + 3p + -3p

Combine like terms: 3p + -3p = 0
8 + -5p = 36 + 0
8 + -5p = 36

Add '-8' to each side of the equation.
8 + -8 + -5p = 36 + -8

Combine like terms: 8 + -8 = 0
0 + -5p = 36 + -8
-5p = 36 + -8

Combine like terms: 36 + -8 = 28
-5p = 28

Divide each side by '-5'.
p = -5.6

Simplifying
p = -5.6

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