-12p-3(4-6p)=2(p-2)-16

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Solution for -12p-3(4-6p)=2(p-2)-16 equation: 


Simplifying
-12p + -3(4 + -6p) = 2(p + -2) + -16
-12p + (4 * -3 + -6p * -3) = 2(p + -2) + -16
-12p + (-12 + 18p) = 2(p + -2) + -16

Reorder the terms:
-12 + -12p + 18p = 2(p + -2) + -16

Combine like terms: -12p + 18p = 6p
-12 + 6p = 2(p + -2) + -16

Reorder the terms:
-12 + 6p = 2(-2 + p) + -16
-12 + 6p = (-2 * 2 + p * 2) + -16
-12 + 6p = (-4 + 2p) + -16

Reorder the terms:
-12 + 6p = -4 + -16 + 2p

Combine like terms: -4 + -16 = -20
-12 + 6p = -20 + 2p

Solving
-12 + 6p = -20 + 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.
-12 + 6p + -2p = -20 + 2p + -2p

Combine like terms: 6p + -2p = 4p
-12 + 4p = -20 + 2p + -2p

Combine like terms: 2p + -2p = 0
-12 + 4p = -20 + 0
-12 + 4p = -20

Add '12' to each side of the equation.
-12 + 12 + 4p = -20 + 12

Combine like terms: -12 + 12 = 0
0 + 4p = -20 + 12
4p = -20 + 12

Combine like terms: -20 + 12 = -8
4p = -8

Divide each side by '4'.
p = -2

Simplifying
p = -2

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