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Simplifying 9(2p + 10) = 18(p + 4) + -24p Reorder the terms: 9(10 + 2p) = 18(p + 4) + -24p (10 * 9 + 2p * 9) = 18(p + 4) + -24p (90 + 18p) = 18(p + 4) + -24p Reorder the terms: 90 + 18p = 18(4 + p) + -24p 90 + 18p = (4 * 18 + p * 18) + -24p 90 + 18p = (72 + 18p) + -24p Combine like terms: 18p + -24p = -6p 90 + 18p = 72 + -6p Solving 90 + 18p = 72 + -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. 90 + 18p + 6p = 72 + -6p + 6p Combine like terms: 18p + 6p = 24p 90 + 24p = 72 + -6p + 6p Combine like terms: -6p + 6p = 0 90 + 24p = 72 + 0 90 + 24p = 72 Add '-90' to each side of the equation. 90 + -90 + 24p = 72 + -90 Combine like terms: 90 + -90 = 0 0 + 24p = 72 + -90 24p = 72 + -90 Combine like terms: 72 + -90 = -18 24p = -18 Divide each side by '24'. p = -0.75 Simplifying p = -0.75
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