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Simplifying -3(3p + 4) + -2(3 + -8p) = 3(4 + 2p) Reorder the terms: -3(4 + 3p) + -2(3 + -8p) = 3(4 + 2p) (4 * -3 + 3p * -3) + -2(3 + -8p) = 3(4 + 2p) (-12 + -9p) + -2(3 + -8p) = 3(4 + 2p) -12 + -9p + (3 * -2 + -8p * -2) = 3(4 + 2p) -12 + -9p + (-6 + 16p) = 3(4 + 2p) Reorder the terms: -12 + -6 + -9p + 16p = 3(4 + 2p) Combine like terms: -12 + -6 = -18 -18 + -9p + 16p = 3(4 + 2p) Combine like terms: -9p + 16p = 7p -18 + 7p = 3(4 + 2p) -18 + 7p = (4 * 3 + 2p * 3) -18 + 7p = (12 + 6p) Solving -18 + 7p = 12 + 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. -18 + 7p + -6p = 12 + 6p + -6p Combine like terms: 7p + -6p = 1p -18 + 1p = 12 + 6p + -6p Combine like terms: 6p + -6p = 0 -18 + 1p = 12 + 0 -18 + 1p = 12 Add '18' to each side of the equation. -18 + 18 + 1p = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 1p = 12 + 18 1p = 12 + 18 Combine like terms: 12 + 18 = 30 1p = 30 Divide each side by '1'. p = 30 Simplifying p = 30
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