9(2p+12)=18(p+5)-24p

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Solution for 9(2p+12)=18(p+5)-24p equation:


Simplifying
9(2p + 12) = 18(p + 5) + -24p

Reorder the terms:
9(12 + 2p) = 18(p + 5) + -24p
(12 * 9 + 2p * 9) = 18(p + 5) + -24p
(108 + 18p) = 18(p + 5) + -24p

Reorder the terms:
108 + 18p = 18(5 + p) + -24p
108 + 18p = (5 * 18 + p * 18) + -24p
108 + 18p = (90 + 18p) + -24p

Combine like terms: 18p + -24p = -6p
108 + 18p = 90 + -6p

Solving
108 + 18p = 90 + -6p

Solving for variable 'p'.

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

Add '6p' to each side of the equation.
108 + 18p + 6p = 90 + -6p + 6p

Combine like terms: 18p + 6p = 24p
108 + 24p = 90 + -6p + 6p

Combine like terms: -6p + 6p = 0
108 + 24p = 90 + 0
108 + 24p = 90

Add '-108' to each side of the equation.
108 + -108 + 24p = 90 + -108

Combine like terms: 108 + -108 = 0
0 + 24p = 90 + -108
24p = 90 + -108

Combine like terms: 90 + -108 = -18
24p = -18

Divide each side by '24'.
p = -0.75

Simplifying
p = -0.75

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