6(-3p+12)+p=-8(p-9)

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Solution for 6(-3p+12)+p=-8(p-9) equation:


Simplifying
6(-3p + 12) + p = -8(p + -9)

Reorder the terms:
6(12 + -3p) + p = -8(p + -9)
(12 * 6 + -3p * 6) + p = -8(p + -9)
(72 + -18p) + p = -8(p + -9)

Combine like terms: -18p + p = -17p
72 + -17p = -8(p + -9)

Reorder the terms:
72 + -17p = -8(-9 + p)
72 + -17p = (-9 * -8 + p * -8)
72 + -17p = (72 + -8p)

Add '-72' to each side of the equation.
72 + -72 + -17p = 72 + -72 + -8p

Combine like terms: 72 + -72 = 0
0 + -17p = 72 + -72 + -8p
-17p = 72 + -72 + -8p

Combine like terms: 72 + -72 = 0
-17p = 0 + -8p
-17p = -8p

Solving
-17p = -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.
-17p + 8p = -8p + 8p

Combine like terms: -17p + 8p = -9p
-9p = -8p + 8p

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

Divide each side by '-9'.
p = 0

Simplifying
p = 0

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