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Simplifying -4(1 + 2p) = 6(-1p + 3) + 2 (1 * -4 + 2p * -4) = 6(-1p + 3) + 2 (-4 + -8p) = 6(-1p + 3) + 2 Reorder the terms: -4 + -8p = 6(3 + -1p) + 2 -4 + -8p = (3 * 6 + -1p * 6) + 2 -4 + -8p = (18 + -6p) + 2 Reorder the terms: -4 + -8p = 18 + 2 + -6p Combine like terms: 18 + 2 = 20 -4 + -8p = 20 + -6p Solving -4 + -8p = 20 + -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. -4 + -8p + 6p = 20 + -6p + 6p Combine like terms: -8p + 6p = -2p -4 + -2p = 20 + -6p + 6p Combine like terms: -6p + 6p = 0 -4 + -2p = 20 + 0 -4 + -2p = 20 Add '4' to each side of the equation. -4 + 4 + -2p = 20 + 4 Combine like terms: -4 + 4 = 0 0 + -2p = 20 + 4 -2p = 20 + 4 Combine like terms: 20 + 4 = 24 -2p = 24 Divide each side by '-2'. p = -12 Simplifying p = -12
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