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Simplifying -5(3p + 2) + 5(2p + 3) = -31 Reorder the terms: -5(2 + 3p) + 5(2p + 3) = -31 (2 * -5 + 3p * -5) + 5(2p + 3) = -31 (-10 + -15p) + 5(2p + 3) = -31 Reorder the terms: -10 + -15p + 5(3 + 2p) = -31 -10 + -15p + (3 * 5 + 2p * 5) = -31 -10 + -15p + (15 + 10p) = -31 Reorder the terms: -10 + 15 + -15p + 10p = -31 Combine like terms: -10 + 15 = 5 5 + -15p + 10p = -31 Combine like terms: -15p + 10p = -5p 5 + -5p = -31 Solving 5 + -5p = -31 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -5p = -31 + -5 Combine like terms: 5 + -5 = 0 0 + -5p = -31 + -5 -5p = -31 + -5 Combine like terms: -31 + -5 = -36 -5p = -36 Divide each side by '-5'. p = 7.2 Simplifying p = 7.2
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