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Simplifying -2p + -5(4 + -2p) = 6(p + -4) + -4 -2p + (4 * -5 + -2p * -5) = 6(p + -4) + -4 -2p + (-20 + 10p) = 6(p + -4) + -4 Reorder the terms: -20 + -2p + 10p = 6(p + -4) + -4 Combine like terms: -2p + 10p = 8p -20 + 8p = 6(p + -4) + -4 Reorder the terms: -20 + 8p = 6(-4 + p) + -4 -20 + 8p = (-4 * 6 + p * 6) + -4 -20 + 8p = (-24 + 6p) + -4 Reorder the terms: -20 + 8p = -24 + -4 + 6p Combine like terms: -24 + -4 = -28 -20 + 8p = -28 + 6p Solving -20 + 8p = -28 + 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 = -28 + 6p + -6p Combine like terms: 8p + -6p = 2p -20 + 2p = -28 + 6p + -6p Combine like terms: 6p + -6p = 0 -20 + 2p = -28 + 0 -20 + 2p = -28 Add '20' to each side of the equation. -20 + 20 + 2p = -28 + 20 Combine like terms: -20 + 20 = 0 0 + 2p = -28 + 20 2p = -28 + 20 Combine like terms: -28 + 20 = -8 2p = -8 Divide each side by '2'. p = -4 Simplifying p = -4
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