-9p-4(4-4p)=4(p-4)-24

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Solution for -9p-4(4-4p)=4(p-4)-24 equation: 


Simplifying
-9p + -4(4 + -4p) = 4(p + -4) + -24
-9p + (4 * -4 + -4p * -4) = 4(p + -4) + -24
-9p + (-16 + 16p) = 4(p + -4) + -24

Reorder the terms:
-16 + -9p + 16p = 4(p + -4) + -24

Combine like terms: -9p + 16p = 7p
-16 + 7p = 4(p + -4) + -24

Reorder the terms:
-16 + 7p = 4(-4 + p) + -24
-16 + 7p = (-4 * 4 + p * 4) + -24
-16 + 7p = (-16 + 4p) + -24

Reorder the terms:
-16 + 7p = -16 + -24 + 4p

Combine like terms: -16 + -24 = -40
-16 + 7p = -40 + 4p

Solving
-16 + 7p = -40 + 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.
-16 + 7p + -4p = -40 + 4p + -4p

Combine like terms: 7p + -4p = 3p
-16 + 3p = -40 + 4p + -4p

Combine like terms: 4p + -4p = 0
-16 + 3p = -40 + 0
-16 + 3p = -40

Add '16' to each side of the equation.
-16 + 16 + 3p = -40 + 16

Combine like terms: -16 + 16 = 0
0 + 3p = -40 + 16
3p = -40 + 16

Combine like terms: -40 + 16 = -24
3p = -24

Divide each side by '3'.
p = -8

Simplifying
p = -8

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