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Simplifying -4[7 + -1(2p + 4)] + -12 = 6(3 + p) Reorder the terms: -4[7 + -1(4 + 2p)] + -12 = 6(3 + p) -4[7 + (4 * -1 + 2p * -1)] + -12 = 6(3 + p) -4[7 + (-4 + -2p)] + -12 = 6(3 + p) Combine like terms: 7 + -4 = 3 -4[3 + -2p] + -12 = 6(3 + p) [3 * -4 + -2p * -4] + -12 = 6(3 + p) [-12 + 8p] + -12 = 6(3 + p) Reorder the terms: -12 + -12 + 8p = 6(3 + p) Combine like terms: -12 + -12 = -24 -24 + 8p = 6(3 + p) -24 + 8p = (3 * 6 + p * 6) -24 + 8p = (18 + 6p) Solving -24 + 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. -24 + 8p + -6p = 18 + 6p + -6p Combine like terms: 8p + -6p = 2p -24 + 2p = 18 + 6p + -6p Combine like terms: 6p + -6p = 0 -24 + 2p = 18 + 0 -24 + 2p = 18 Add '24' to each side of the equation. -24 + 24 + 2p = 18 + 24 Combine like terms: -24 + 24 = 0 0 + 2p = 18 + 24 2p = 18 + 24 Combine like terms: 18 + 24 = 42 2p = 42 Divide each side by '2'. p = 21 Simplifying p = 21
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