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

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


Simplifying
-3p + -4(4 + -2p) = 3(p + -4) + -16
-3p + (4 * -4 + -2p * -4) = 3(p + -4) + -16
-3p + (-16 + 8p) = 3(p + -4) + -16

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

Combine like terms: -3p + 8p = 5p
-16 + 5p = 3(p + -4) + -16

Reorder the terms:
-16 + 5p = 3(-4 + p) + -16
-16 + 5p = (-4 * 3 + p * 3) + -16
-16 + 5p = (-12 + 3p) + -16

Reorder the terms:
-16 + 5p = -12 + -16 + 3p

Combine like terms: -12 + -16 = -28
-16 + 5p = -28 + 3p

Solving
-16 + 5p = -28 + 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.
-16 + 5p + -3p = -28 + 3p + -3p

Combine like terms: 5p + -3p = 2p
-16 + 2p = -28 + 3p + -3p

Combine like terms: 3p + -3p = 0
-16 + 2p = -28 + 0
-16 + 2p = -28

Add '16' to each side of the equation.
-16 + 16 + 2p = -28 + 16

Combine like terms: -16 + 16 = 0
0 + 2p = -28 + 16
2p = -28 + 16

Combine like terms: -28 + 16 = -12
2p = -12

Divide each side by '2'.
p = -6

Simplifying
p = -6

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