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Simplifying 2p + -2(3 + -4p) = 5(p + -2) + -21 2p + (3 * -2 + -4p * -2) = 5(p + -2) + -21 2p + (-6 + 8p) = 5(p + -2) + -21 Reorder the terms: -6 + 2p + 8p = 5(p + -2) + -21 Combine like terms: 2p + 8p = 10p -6 + 10p = 5(p + -2) + -21 Reorder the terms: -6 + 10p = 5(-2 + p) + -21 -6 + 10p = (-2 * 5 + p * 5) + -21 -6 + 10p = (-10 + 5p) + -21 Reorder the terms: -6 + 10p = -10 + -21 + 5p Combine like terms: -10 + -21 = -31 -6 + 10p = -31 + 5p Solving -6 + 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. -6 + 10p + -5p = -31 + 5p + -5p Combine like terms: 10p + -5p = 5p -6 + 5p = -31 + 5p + -5p Combine like terms: 5p + -5p = 0 -6 + 5p = -31 + 0 -6 + 5p = -31 Add '6' to each side of the equation. -6 + 6 + 5p = -31 + 6 Combine like terms: -6 + 6 = 0 0 + 5p = -31 + 6 5p = -31 + 6 Combine like terms: -31 + 6 = -25 5p = -25 Divide each side by '5'. p = -5 Simplifying p = -5
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