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Simplifying 4(p + -4) + -3(2p + 5) = 1.5(2p + -13) Reorder the terms: 4(-4 + p) + -3(2p + 5) = 1.5(2p + -13) (-4 * 4 + p * 4) + -3(2p + 5) = 1.5(2p + -13) (-16 + 4p) + -3(2p + 5) = 1.5(2p + -13) Reorder the terms: -16 + 4p + -3(5 + 2p) = 1.5(2p + -13) -16 + 4p + (5 * -3 + 2p * -3) = 1.5(2p + -13) -16 + 4p + (-15 + -6p) = 1.5(2p + -13) Reorder the terms: -16 + -15 + 4p + -6p = 1.5(2p + -13) Combine like terms: -16 + -15 = -31 -31 + 4p + -6p = 1.5(2p + -13) Combine like terms: 4p + -6p = -2p -31 + -2p = 1.5(2p + -13) Reorder the terms: -31 + -2p = 1.5(-13 + 2p) -31 + -2p = (-13 * 1.5 + 2p * 1.5) -31 + -2p = (-19.5 + 3p) Solving -31 + -2p = -19.5 + 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 = -19.5 + 3p + -3p Combine like terms: -2p + -3p = -5p -31 + -5p = -19.5 + 3p + -3p Combine like terms: 3p + -3p = 0 -31 + -5p = -19.5 + 0 -31 + -5p = -19.5 Add '31' to each side of the equation. -31 + 31 + -5p = -19.5 + 31 Combine like terms: -31 + 31 = 0 0 + -5p = -19.5 + 31 -5p = -19.5 + 31 Combine like terms: -19.5 + 31 = 11.5 -5p = 11.5 Divide each side by '-5'. p = -2.3 Simplifying p = -2.3
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