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Simplifying -2p + -4(5 + -2p) = 4(p + -4) + -12 -2p + (5 * -4 + -2p * -4) = 4(p + -4) + -12 -2p + (-20 + 8p) = 4(p + -4) + -12 Reorder the terms: -20 + -2p + 8p = 4(p + -4) + -12 Combine like terms: -2p + 8p = 6p -20 + 6p = 4(p + -4) + -12 Reorder the terms: -20 + 6p = 4(-4 + p) + -12 -20 + 6p = (-4 * 4 + p * 4) + -12 -20 + 6p = (-16 + 4p) + -12 Reorder the terms: -20 + 6p = -16 + -12 + 4p Combine like terms: -16 + -12 = -28 -20 + 6p = -28 + 4p Solving -20 + 6p = -28 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -20 + 6p + -4p = -28 + 4p + -4p Combine like terms: 6p + -4p = 2p -20 + 2p = -28 + 4p + -4p Combine like terms: 4p + -4p = 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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