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Simplifying -4p + -4(6 + -2p) = 2(p + -4) + -16 -4p + (6 * -4 + -2p * -4) = 2(p + -4) + -16 -4p + (-24 + 8p) = 2(p + -4) + -16 Reorder the terms: -24 + -4p + 8p = 2(p + -4) + -16 Combine like terms: -4p + 8p = 4p -24 + 4p = 2(p + -4) + -16 Reorder the terms: -24 + 4p = 2(-4 + p) + -16 -24 + 4p = (-4 * 2 + p * 2) + -16 -24 + 4p = (-8 + 2p) + -16 Reorder the terms: -24 + 4p = -8 + -16 + 2p Combine like terms: -8 + -16 = -24 -24 + 4p = -24 + 2p Add '24' to each side of the equation. -24 + 24 + 4p = -24 + 24 + 2p Combine like terms: -24 + 24 = 0 0 + 4p = -24 + 24 + 2p 4p = -24 + 24 + 2p Combine like terms: -24 + 24 = 0 4p = 0 + 2p 4p = 2p Solving 4p = 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. 4p + -2p = 2p + -2p Combine like terms: 4p + -2p = 2p 2p = 2p + -2p Combine like terms: 2p + -2p = 0 2p = 0 Divide each side by '2'. p = 0 Simplifying p = 0
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