-5(4p+4)-24=2(5p+8)

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Solution for -5(4p+4)-24=2(5p+8) equation:


Simplifying
-5(4p + 4) + -24 = 2(5p + 8)

Reorder the terms:
-5(4 + 4p) + -24 = 2(5p + 8)
(4 * -5 + 4p * -5) + -24 = 2(5p + 8)
(-20 + -20p) + -24 = 2(5p + 8)

Reorder the terms:
-20 + -24 + -20p = 2(5p + 8)

Combine like terms: -20 + -24 = -44
-44 + -20p = 2(5p + 8)

Reorder the terms:
-44 + -20p = 2(8 + 5p)
-44 + -20p = (8 * 2 + 5p * 2)
-44 + -20p = (16 + 10p)

Solving
-44 + -20p = 16 + 10p

Solving for variable 'p'.

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

Add '-10p' to each side of the equation.
-44 + -20p + -10p = 16 + 10p + -10p

Combine like terms: -20p + -10p = -30p
-44 + -30p = 16 + 10p + -10p

Combine like terms: 10p + -10p = 0
-44 + -30p = 16 + 0
-44 + -30p = 16

Add '44' to each side of the equation.
-44 + 44 + -30p = 16 + 44

Combine like terms: -44 + 44 = 0
0 + -30p = 16 + 44
-30p = 16 + 44

Combine like terms: 16 + 44 = 60
-30p = 60

Divide each side by '-30'.
p = -2

Simplifying
p = -2

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