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Simplifying 2p + -4(4 + -2p) = 5(p + -3) + -16 2p + (4 * -4 + -2p * -4) = 5(p + -3) + -16 2p + (-16 + 8p) = 5(p + -3) + -16 Reorder the terms: -16 + 2p + 8p = 5(p + -3) + -16 Combine like terms: 2p + 8p = 10p -16 + 10p = 5(p + -3) + -16 Reorder the terms: -16 + 10p = 5(-3 + p) + -16 -16 + 10p = (-3 * 5 + p * 5) + -16 -16 + 10p = (-15 + 5p) + -16 Reorder the terms: -16 + 10p = -15 + -16 + 5p Combine like terms: -15 + -16 = -31 -16 + 10p = -31 + 5p Solving -16 + 10p = -31 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -16 + 10p + -5p = -31 + 5p + -5p Combine like terms: 10p + -5p = 5p -16 + 5p = -31 + 5p + -5p Combine like terms: 5p + -5p = 0 -16 + 5p = -31 + 0 -16 + 5p = -31 Add '16' to each side of the equation. -16 + 16 + 5p = -31 + 16 Combine like terms: -16 + 16 = 0 0 + 5p = -31 + 16 5p = -31 + 16 Combine like terms: -31 + 16 = -15 5p = -15 Divide each side by '5'. p = -3 Simplifying p = -3
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