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Simplifying -2[1 + -1(2p + 9)] + -14 = 6(3 + p) Reorder the terms: -2[1 + -1(9 + 2p)] + -14 = 6(3 + p) -2[1 + (9 * -1 + 2p * -1)] + -14 = 6(3 + p) -2[1 + (-9 + -2p)] + -14 = 6(3 + p) Combine like terms: 1 + -9 = -8 -2[-8 + -2p] + -14 = 6(3 + p) [-8 * -2 + -2p * -2] + -14 = 6(3 + p) [16 + 4p] + -14 = 6(3 + p) Reorder the terms: 16 + -14 + 4p = 6(3 + p) Combine like terms: 16 + -14 = 2 2 + 4p = 6(3 + p) 2 + 4p = (3 * 6 + p * 6) 2 + 4p = (18 + 6p) Solving 2 + 4p = 18 + 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. 2 + 4p + -6p = 18 + 6p + -6p Combine like terms: 4p + -6p = -2p 2 + -2p = 18 + 6p + -6p Combine like terms: 6p + -6p = 0 2 + -2p = 18 + 0 2 + -2p = 18 Add '-2' to each side of the equation. 2 + -2 + -2p = 18 + -2 Combine like terms: 2 + -2 = 0 0 + -2p = 18 + -2 -2p = 18 + -2 Combine like terms: 18 + -2 = 16 -2p = 16 Divide each side by '-2'. p = -8 Simplifying p = -8
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