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Simplifying -3(3p + 3) + -2(2 + -8p) = 3(8 + 2p) Reorder the terms: -3(3 + 3p) + -2(2 + -8p) = 3(8 + 2p) (3 * -3 + 3p * -3) + -2(2 + -8p) = 3(8 + 2p) (-9 + -9p) + -2(2 + -8p) = 3(8 + 2p) -9 + -9p + (2 * -2 + -8p * -2) = 3(8 + 2p) -9 + -9p + (-4 + 16p) = 3(8 + 2p) Reorder the terms: -9 + -4 + -9p + 16p = 3(8 + 2p) Combine like terms: -9 + -4 = -13 -13 + -9p + 16p = 3(8 + 2p) Combine like terms: -9p + 16p = 7p -13 + 7p = 3(8 + 2p) -13 + 7p = (8 * 3 + 2p * 3) -13 + 7p = (24 + 6p) Solving -13 + 7p = 24 + 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. -13 + 7p + -6p = 24 + 6p + -6p Combine like terms: 7p + -6p = 1p -13 + 1p = 24 + 6p + -6p Combine like terms: 6p + -6p = 0 -13 + 1p = 24 + 0 -13 + 1p = 24 Add '13' to each side of the equation. -13 + 13 + 1p = 24 + 13 Combine like terms: -13 + 13 = 0 0 + 1p = 24 + 13 1p = 24 + 13 Combine like terms: 24 + 13 = 37 1p = 37 Divide each side by '1'. p = 37 Simplifying p = 37
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