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Simplifying 8(p + -5) + -5(2p + 5) = 1.5(2p + -13) Reorder the terms: 8(-5 + p) + -5(2p + 5) = 1.5(2p + -13) (-5 * 8 + p * 8) + -5(2p + 5) = 1.5(2p + -13) (-40 + 8p) + -5(2p + 5) = 1.5(2p + -13) Reorder the terms: -40 + 8p + -5(5 + 2p) = 1.5(2p + -13) -40 + 8p + (5 * -5 + 2p * -5) = 1.5(2p + -13) -40 + 8p + (-25 + -10p) = 1.5(2p + -13) Reorder the terms: -40 + -25 + 8p + -10p = 1.5(2p + -13) Combine like terms: -40 + -25 = -65 -65 + 8p + -10p = 1.5(2p + -13) Combine like terms: 8p + -10p = -2p -65 + -2p = 1.5(2p + -13) Reorder the terms: -65 + -2p = 1.5(-13 + 2p) -65 + -2p = (-13 * 1.5 + 2p * 1.5) -65 + -2p = (-19.5 + 3p) Solving -65 + -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. -65 + -2p + -3p = -19.5 + 3p + -3p Combine like terms: -2p + -3p = -5p -65 + -5p = -19.5 + 3p + -3p Combine like terms: 3p + -3p = 0 -65 + -5p = -19.5 + 0 -65 + -5p = -19.5 Add '65' to each side of the equation. -65 + 65 + -5p = -19.5 + 65 Combine like terms: -65 + 65 = 0 0 + -5p = -19.5 + 65 -5p = -19.5 + 65 Combine like terms: -19.5 + 65 = 45.5 -5p = 45.5 Divide each side by '-5'. p = -9.1 Simplifying p = -9.1
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