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Simplifying -3(7p + 5) + -2(6 + -14p) = 3(8 + 2p) Reorder the terms: -3(5 + 7p) + -2(6 + -14p) = 3(8 + 2p) (5 * -3 + 7p * -3) + -2(6 + -14p) = 3(8 + 2p) (-15 + -21p) + -2(6 + -14p) = 3(8 + 2p) -15 + -21p + (6 * -2 + -14p * -2) = 3(8 + 2p) -15 + -21p + (-12 + 28p) = 3(8 + 2p) Reorder the terms: -15 + -12 + -21p + 28p = 3(8 + 2p) Combine like terms: -15 + -12 = -27 -27 + -21p + 28p = 3(8 + 2p) Combine like terms: -21p + 28p = 7p -27 + 7p = 3(8 + 2p) -27 + 7p = (8 * 3 + 2p * 3) -27 + 7p = (24 + 6p) Solving -27 + 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. -27 + 7p + -6p = 24 + 6p + -6p Combine like terms: 7p + -6p = 1p -27 + 1p = 24 + 6p + -6p Combine like terms: 6p + -6p = 0 -27 + 1p = 24 + 0 -27 + 1p = 24 Add '27' to each side of the equation. -27 + 27 + 1p = 24 + 27 Combine like terms: -27 + 27 = 0 0 + 1p = 24 + 27 1p = 24 + 27 Combine like terms: 24 + 27 = 51 1p = 51 Divide each side by '1'. p = 51 Simplifying p = 51
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