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Simplifying -2p + -2(5 + -4p) = 4(p + -4) + -14 -2p + (5 * -2 + -4p * -2) = 4(p + -4) + -14 -2p + (-10 + 8p) = 4(p + -4) + -14 Reorder the terms: -10 + -2p + 8p = 4(p + -4) + -14 Combine like terms: -2p + 8p = 6p -10 + 6p = 4(p + -4) + -14 Reorder the terms: -10 + 6p = 4(-4 + p) + -14 -10 + 6p = (-4 * 4 + p * 4) + -14 -10 + 6p = (-16 + 4p) + -14 Reorder the terms: -10 + 6p = -16 + -14 + 4p Combine like terms: -16 + -14 = -30 -10 + 6p = -30 + 4p Solving -10 + 6p = -30 + 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. -10 + 6p + -4p = -30 + 4p + -4p Combine like terms: 6p + -4p = 2p -10 + 2p = -30 + 4p + -4p Combine like terms: 4p + -4p = 0 -10 + 2p = -30 + 0 -10 + 2p = -30 Add '10' to each side of the equation. -10 + 10 + 2p = -30 + 10 Combine like terms: -10 + 10 = 0 0 + 2p = -30 + 10 2p = -30 + 10 Combine like terms: -30 + 10 = -20 2p = -20 Divide each side by '2'. p = -10 Simplifying p = -10
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