-4(4p+3)-24=2(5p+8)

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Solution for -4(4p+3)-24=2(5p+8) equation:


Simplifying
-4(4p + 3) + -24 = 2(5p + 8)

Reorder the terms:
-4(3 + 4p) + -24 = 2(5p + 8)
(3 * -4 + 4p * -4) + -24 = 2(5p + 8)
(-12 + -16p) + -24 = 2(5p + 8)

Reorder the terms:
-12 + -24 + -16p = 2(5p + 8)

Combine like terms: -12 + -24 = -36
-36 + -16p = 2(5p + 8)

Reorder the terms:
-36 + -16p = 2(8 + 5p)
-36 + -16p = (8 * 2 + 5p * 2)
-36 + -16p = (16 + 10p)

Solving
-36 + -16p = 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.
-36 + -16p + -10p = 16 + 10p + -10p

Combine like terms: -16p + -10p = -26p
-36 + -26p = 16 + 10p + -10p

Combine like terms: 10p + -10p = 0
-36 + -26p = 16 + 0
-36 + -26p = 16

Add '36' to each side of the equation.
-36 + 36 + -26p = 16 + 36

Combine like terms: -36 + 36 = 0
0 + -26p = 16 + 36
-26p = 16 + 36

Combine like terms: 16 + 36 = 52
-26p = 52

Divide each side by '-26'.
p = -2

Simplifying
p = -2

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