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Simplifying 8(p + -2) + -5(2p + 3) = 1.5(2p + -15) Reorder the terms: 8(-2 + p) + -5(2p + 3) = 1.5(2p + -15) (-2 * 8 + p * 8) + -5(2p + 3) = 1.5(2p + -15) (-16 + 8p) + -5(2p + 3) = 1.5(2p + -15) Reorder the terms: -16 + 8p + -5(3 + 2p) = 1.5(2p + -15) -16 + 8p + (3 * -5 + 2p * -5) = 1.5(2p + -15) -16 + 8p + (-15 + -10p) = 1.5(2p + -15) Reorder the terms: -16 + -15 + 8p + -10p = 1.5(2p + -15) Combine like terms: -16 + -15 = -31 -31 + 8p + -10p = 1.5(2p + -15) Combine like terms: 8p + -10p = -2p -31 + -2p = 1.5(2p + -15) Reorder the terms: -31 + -2p = 1.5(-15 + 2p) -31 + -2p = (-15 * 1.5 + 2p * 1.5) -31 + -2p = (-22.5 + 3p) Solving -31 + -2p = -22.5 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -31 + -2p + -3p = -22.5 + 3p + -3p Combine like terms: -2p + -3p = -5p -31 + -5p = -22.5 + 3p + -3p Combine like terms: 3p + -3p = 0 -31 + -5p = -22.5 + 0 -31 + -5p = -22.5 Add '31' to each side of the equation. -31 + 31 + -5p = -22.5 + 31 Combine like terms: -31 + 31 = 0 0 + -5p = -22.5 + 31 -5p = -22.5 + 31 Combine like terms: -22.5 + 31 = 8.5 -5p = 8.5 Divide each side by '-5'. p = -1.7 Simplifying p = -1.7
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