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Simplifying p + -5(2p + -3) = 24 Reorder the terms: p + -5(-3 + 2p) = 24 p + (-3 * -5 + 2p * -5) = 24 p + (15 + -10p) = 24 Reorder the terms: 15 + p + -10p = 24 Combine like terms: p + -10p = -9p 15 + -9p = 24 Solving 15 + -9p = 24 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -9p = 24 + -15 Combine like terms: 15 + -15 = 0 0 + -9p = 24 + -15 -9p = 24 + -15 Combine like terms: 24 + -15 = 9 -9p = 9 Divide each side by '-9'. p = -1 Simplifying p = -1
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