9(2p+8)=18(p+3)-24p

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Solution for 9(2p+8)=18(p+3)-24p equation:


Simplifying
9(2p + 8) = 18(p + 3) + -24p

Reorder the terms:
9(8 + 2p) = 18(p + 3) + -24p
(8 * 9 + 2p * 9) = 18(p + 3) + -24p
(72 + 18p) = 18(p + 3) + -24p

Reorder the terms:
72 + 18p = 18(3 + p) + -24p
72 + 18p = (3 * 18 + p * 18) + -24p
72 + 18p = (54 + 18p) + -24p

Combine like terms: 18p + -24p = -6p
72 + 18p = 54 + -6p

Solving
72 + 18p = 54 + -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.
72 + 18p + 6p = 54 + -6p + 6p

Combine like terms: 18p + 6p = 24p
72 + 24p = 54 + -6p + 6p

Combine like terms: -6p + 6p = 0
72 + 24p = 54 + 0
72 + 24p = 54

Add '-72' to each side of the equation.
72 + -72 + 24p = 54 + -72

Combine like terms: 72 + -72 = 0
0 + 24p = 54 + -72
24p = 54 + -72

Combine like terms: 54 + -72 = -18
24p = -18

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

Simplifying
p = -0.75

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