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Simplifying 8(p + -2) + -5(2p + 9) = 3.5(2p + -15) Reorder the terms: 8(-2 + p) + -5(2p + 9) = 3.5(2p + -15) (-2 * 8 + p * 8) + -5(2p + 9) = 3.5(2p + -15) (-16 + 8p) + -5(2p + 9) = 3.5(2p + -15) Reorder the terms: -16 + 8p + -5(9 + 2p) = 3.5(2p + -15) -16 + 8p + (9 * -5 + 2p * -5) = 3.5(2p + -15) -16 + 8p + (-45 + -10p) = 3.5(2p + -15) Reorder the terms: -16 + -45 + 8p + -10p = 3.5(2p + -15) Combine like terms: -16 + -45 = -61 -61 + 8p + -10p = 3.5(2p + -15) Combine like terms: 8p + -10p = -2p -61 + -2p = 3.5(2p + -15) Reorder the terms: -61 + -2p = 3.5(-15 + 2p) -61 + -2p = (-15 * 3.5 + 2p * 3.5) -61 + -2p = (-52.5 + 7p) Solving -61 + -2p = -52.5 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. -61 + -2p + -7p = -52.5 + 7p + -7p Combine like terms: -2p + -7p = -9p -61 + -9p = -52.5 + 7p + -7p Combine like terms: 7p + -7p = 0 -61 + -9p = -52.5 + 0 -61 + -9p = -52.5 Add '61' to each side of the equation. -61 + 61 + -9p = -52.5 + 61 Combine like terms: -61 + 61 = 0 0 + -9p = -52.5 + 61 -9p = -52.5 + 61 Combine like terms: -52.5 + 61 = 8.5 -9p = 8.5 Divide each side by '-9'. p = -0.9444444444 Simplifying p = -0.9444444444
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