5(p+3)+9=(3p-6)+6

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Solution for 5(p+3)+9=(3p-6)+6 equation:


Simplifying
5(p + 3) + 9 = (3p + -6) + 6

Reorder the terms:
5(3 + p) + 9 = (3p + -6) + 6
(3 * 5 + p * 5) + 9 = (3p + -6) + 6
(15 + 5p) + 9 = (3p + -6) + 6

Reorder the terms:
15 + 9 + 5p = (3p + -6) + 6

Combine like terms: 15 + 9 = 24
24 + 5p = (3p + -6) + 6

Reorder the terms:
24 + 5p = (-6 + 3p) + 6

Remove parenthesis around (-6 + 3p)
24 + 5p = -6 + 3p + 6

Reorder the terms:
24 + 5p = -6 + 6 + 3p

Combine like terms: -6 + 6 = 0
24 + 5p = 0 + 3p
24 + 5p = 3p

Solving
24 + 5p = 3p

Solving for variable 'p'.

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

Add '-3p' to each side of the equation.
24 + 5p + -3p = 3p + -3p

Combine like terms: 5p + -3p = 2p
24 + 2p = 3p + -3p

Combine like terms: 3p + -3p = 0
24 + 2p = 0

Add '-24' to each side of the equation.
24 + -24 + 2p = 0 + -24

Combine like terms: 24 + -24 = 0
0 + 2p = 0 + -24
2p = 0 + -24

Combine like terms: 0 + -24 = -24
2p = -24

Divide each side by '2'.
p = -12

Simplifying
p = -12

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