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Simplifying 2p + -4(6 + -2p) = 5(p + -4) + -14 2p + (6 * -4 + -2p * -4) = 5(p + -4) + -14 2p + (-24 + 8p) = 5(p + -4) + -14 Reorder the terms: -24 + 2p + 8p = 5(p + -4) + -14 Combine like terms: 2p + 8p = 10p -24 + 10p = 5(p + -4) + -14 Reorder the terms: -24 + 10p = 5(-4 + p) + -14 -24 + 10p = (-4 * 5 + p * 5) + -14 -24 + 10p = (-20 + 5p) + -14 Reorder the terms: -24 + 10p = -20 + -14 + 5p Combine like terms: -20 + -14 = -34 -24 + 10p = -34 + 5p Solving -24 + 10p = -34 + 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. -24 + 10p + -5p = -34 + 5p + -5p Combine like terms: 10p + -5p = 5p -24 + 5p = -34 + 5p + -5p Combine like terms: 5p + -5p = 0 -24 + 5p = -34 + 0 -24 + 5p = -34 Add '24' to each side of the equation. -24 + 24 + 5p = -34 + 24 Combine like terms: -24 + 24 = 0 0 + 5p = -34 + 24 5p = -34 + 24 Combine like terms: -34 + 24 = -10 5p = -10 Divide each side by '5'. p = -2 Simplifying p = -2
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