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Simplifying -4[6 + -1(2p + 4)] + -12 = 6(3 + p) Reorder the terms: -4[6 + -1(4 + 2p)] + -12 = 6(3 + p) -4[6 + (4 * -1 + 2p * -1)] + -12 = 6(3 + p) -4[6 + (-4 + -2p)] + -12 = 6(3 + p) Combine like terms: 6 + -4 = 2 -4[2 + -2p] + -12 = 6(3 + p) [2 * -4 + -2p * -4] + -12 = 6(3 + p) [-8 + 8p] + -12 = 6(3 + p) Reorder the terms: -8 + -12 + 8p = 6(3 + p) Combine like terms: -8 + -12 = -20 -20 + 8p = 6(3 + p) -20 + 8p = (3 * 6 + p * 6) -20 + 8p = (18 + 6p) Solving -20 + 8p = 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. -20 + 8p + -6p = 18 + 6p + -6p Combine like terms: 8p + -6p = 2p -20 + 2p = 18 + 6p + -6p Combine like terms: 6p + -6p = 0 -20 + 2p = 18 + 0 -20 + 2p = 18 Add '20' to each side of the equation. -20 + 20 + 2p = 18 + 20 Combine like terms: -20 + 20 = 0 0 + 2p = 18 + 20 2p = 18 + 20 Combine like terms: 18 + 20 = 38 2p = 38 Divide each side by '2'. p = 19 Simplifying p = 19
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