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Simplifying -1(3p + 5) + -2(5 + -8p) = 3(1 + 2p) Reorder the terms: -1(5 + 3p) + -2(5 + -8p) = 3(1 + 2p) (5 * -1 + 3p * -1) + -2(5 + -8p) = 3(1 + 2p) (-5 + -3p) + -2(5 + -8p) = 3(1 + 2p) -5 + -3p + (5 * -2 + -8p * -2) = 3(1 + 2p) -5 + -3p + (-10 + 16p) = 3(1 + 2p) Reorder the terms: -5 + -10 + -3p + 16p = 3(1 + 2p) Combine like terms: -5 + -10 = -15 -15 + -3p + 16p = 3(1 + 2p) Combine like terms: -3p + 16p = 13p -15 + 13p = 3(1 + 2p) -15 + 13p = (1 * 3 + 2p * 3) -15 + 13p = (3 + 6p) Solving -15 + 13p = 3 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -15 + 13p + -6p = 3 + 6p + -6p Combine like terms: 13p + -6p = 7p -15 + 7p = 3 + 6p + -6p Combine like terms: 6p + -6p = 0 -15 + 7p = 3 + 0 -15 + 7p = 3 Add '15' to each side of the equation. -15 + 15 + 7p = 3 + 15 Combine like terms: -15 + 15 = 0 0 + 7p = 3 + 15 7p = 3 + 15 Combine like terms: 3 + 15 = 18 7p = 18 Divide each side by '7'. p = 2.571428571 Simplifying p = 2.571428571
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