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Simplifying -3(7p + 2) + -2(2 + -14p) = 3(9 + 2p) Reorder the terms: -3(2 + 7p) + -2(2 + -14p) = 3(9 + 2p) (2 * -3 + 7p * -3) + -2(2 + -14p) = 3(9 + 2p) (-6 + -21p) + -2(2 + -14p) = 3(9 + 2p) -6 + -21p + (2 * -2 + -14p * -2) = 3(9 + 2p) -6 + -21p + (-4 + 28p) = 3(9 + 2p) Reorder the terms: -6 + -4 + -21p + 28p = 3(9 + 2p) Combine like terms: -6 + -4 = -10 -10 + -21p + 28p = 3(9 + 2p) Combine like terms: -21p + 28p = 7p -10 + 7p = 3(9 + 2p) -10 + 7p = (9 * 3 + 2p * 3) -10 + 7p = (27 + 6p) Solving -10 + 7p = 27 + 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. -10 + 7p + -6p = 27 + 6p + -6p Combine like terms: 7p + -6p = 1p -10 + 1p = 27 + 6p + -6p Combine like terms: 6p + -6p = 0 -10 + 1p = 27 + 0 -10 + 1p = 27 Add '10' to each side of the equation. -10 + 10 + 1p = 27 + 10 Combine like terms: -10 + 10 = 0 0 + 1p = 27 + 10 1p = 27 + 10 Combine like terms: 27 + 10 = 37 1p = 37 Divide each side by '1'. p = 37 Simplifying p = 37
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