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Simplifying -3(3p + 5) + -2(1 + -8p) = 3(2 + 2p) Reorder the terms: -3(5 + 3p) + -2(1 + -8p) = 3(2 + 2p) (5 * -3 + 3p * -3) + -2(1 + -8p) = 3(2 + 2p) (-15 + -9p) + -2(1 + -8p) = 3(2 + 2p) -15 + -9p + (1 * -2 + -8p * -2) = 3(2 + 2p) -15 + -9p + (-2 + 16p) = 3(2 + 2p) Reorder the terms: -15 + -2 + -9p + 16p = 3(2 + 2p) Combine like terms: -15 + -2 = -17 -17 + -9p + 16p = 3(2 + 2p) Combine like terms: -9p + 16p = 7p -17 + 7p = 3(2 + 2p) -17 + 7p = (2 * 3 + 2p * 3) -17 + 7p = (6 + 6p) Solving -17 + 7p = 6 + 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. -17 + 7p + -6p = 6 + 6p + -6p Combine like terms: 7p + -6p = 1p -17 + 1p = 6 + 6p + -6p Combine like terms: 6p + -6p = 0 -17 + 1p = 6 + 0 -17 + 1p = 6 Add '17' to each side of the equation. -17 + 17 + 1p = 6 + 17 Combine like terms: -17 + 17 = 0 0 + 1p = 6 + 17 1p = 6 + 17 Combine like terms: 6 + 17 = 23 1p = 23 Divide each side by '1'. p = 23 Simplifying p = 23
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