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Simplifying -2p + -5(2 + -2p) = 5(p + -4) + -23 -2p + (2 * -5 + -2p * -5) = 5(p + -4) + -23 -2p + (-10 + 10p) = 5(p + -4) + -23 Reorder the terms: -10 + -2p + 10p = 5(p + -4) + -23 Combine like terms: -2p + 10p = 8p -10 + 8p = 5(p + -4) + -23 Reorder the terms: -10 + 8p = 5(-4 + p) + -23 -10 + 8p = (-4 * 5 + p * 5) + -23 -10 + 8p = (-20 + 5p) + -23 Reorder the terms: -10 + 8p = -20 + -23 + 5p Combine like terms: -20 + -23 = -43 -10 + 8p = -43 + 5p Solving -10 + 8p = -43 + 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. -10 + 8p + -5p = -43 + 5p + -5p Combine like terms: 8p + -5p = 3p -10 + 3p = -43 + 5p + -5p Combine like terms: 5p + -5p = 0 -10 + 3p = -43 + 0 -10 + 3p = -43 Add '10' to each side of the equation. -10 + 10 + 3p = -43 + 10 Combine like terms: -10 + 10 = 0 0 + 3p = -43 + 10 3p = -43 + 10 Combine like terms: -43 + 10 = -33 3p = -33 Divide each side by '3'. p = -11 Simplifying p = -11
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