6p-(5p+5)=-8(p+12)

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Solution for 6p-(5p+5)=-8(p+12) equation:


Simplifying
6p + -1(5p + 5) = -8(p + 12)

Reorder the terms:
6p + -1(5 + 5p) = -8(p + 12)
6p + (5 * -1 + 5p * -1) = -8(p + 12)
6p + (-5 + -5p) = -8(p + 12)

Reorder the terms:
-5 + 6p + -5p = -8(p + 12)

Combine like terms: 6p + -5p = 1p
-5 + 1p = -8(p + 12)

Reorder the terms:
-5 + 1p = -8(12 + p)
-5 + 1p = (12 * -8 + p * -8)
-5 + 1p = (-96 + -8p)

Solving
-5 + 1p = -96 + -8p

Solving for variable 'p'.

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

Add '8p' to each side of the equation.
-5 + 1p + 8p = -96 + -8p + 8p

Combine like terms: 1p + 8p = 9p
-5 + 9p = -96 + -8p + 8p

Combine like terms: -8p + 8p = 0
-5 + 9p = -96 + 0
-5 + 9p = -96

Add '5' to each side of the equation.
-5 + 5 + 9p = -96 + 5

Combine like terms: -5 + 5 = 0
0 + 9p = -96 + 5
9p = -96 + 5

Combine like terms: -96 + 5 = -91
9p = -91

Divide each side by '9'.
p = -10.11111111

Simplifying
p = -10.11111111

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