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Simplifying -2p + -4(4 + -2p) = 2(p + -5) + -6 -2p + (4 * -4 + -2p * -4) = 2(p + -5) + -6 -2p + (-16 + 8p) = 2(p + -5) + -6 Reorder the terms: -16 + -2p + 8p = 2(p + -5) + -6 Combine like terms: -2p + 8p = 6p -16 + 6p = 2(p + -5) + -6 Reorder the terms: -16 + 6p = 2(-5 + p) + -6 -16 + 6p = (-5 * 2 + p * 2) + -6 -16 + 6p = (-10 + 2p) + -6 Reorder the terms: -16 + 6p = -10 + -6 + 2p Combine like terms: -10 + -6 = -16 -16 + 6p = -16 + 2p Add '16' to each side of the equation. -16 + 16 + 6p = -16 + 16 + 2p Combine like terms: -16 + 16 = 0 0 + 6p = -16 + 16 + 2p 6p = -16 + 16 + 2p Combine like terms: -16 + 16 = 0 6p = 0 + 2p 6p = 2p Solving 6p = 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 6p + -2p = 2p + -2p Combine like terms: 6p + -2p = 4p 4p = 2p + -2p Combine like terms: 2p + -2p = 0 4p = 0 Divide each side by '4'. p = 0 Simplifying p = 0
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