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Simplifying -3(7p + 3) + -2(4 + -14p) = 3(9 + 2p) Reorder the terms: -3(3 + 7p) + -2(4 + -14p) = 3(9 + 2p) (3 * -3 + 7p * -3) + -2(4 + -14p) = 3(9 + 2p) (-9 + -21p) + -2(4 + -14p) = 3(9 + 2p) -9 + -21p + (4 * -2 + -14p * -2) = 3(9 + 2p) -9 + -21p + (-8 + 28p) = 3(9 + 2p) Reorder the terms: -9 + -8 + -21p + 28p = 3(9 + 2p) Combine like terms: -9 + -8 = -17 -17 + -21p + 28p = 3(9 + 2p) Combine like terms: -21p + 28p = 7p -17 + 7p = 3(9 + 2p) -17 + 7p = (9 * 3 + 2p * 3) -17 + 7p = (27 + 6p) Solving -17 + 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. -17 + 7p + -6p = 27 + 6p + -6p Combine like terms: 7p + -6p = 1p -17 + 1p = 27 + 6p + -6p Combine like terms: 6p + -6p = 0 -17 + 1p = 27 + 0 -17 + 1p = 27 Add '17' to each side of the equation. -17 + 17 + 1p = 27 + 17 Combine like terms: -17 + 17 = 0 0 + 1p = 27 + 17 1p = 27 + 17 Combine like terms: 27 + 17 = 44 1p = 44 Divide each side by '1'. p = 44 Simplifying p = 44
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