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Simplifying -4[p + -1(5 + -1p)] = 5(5p + -2) -4[p + (5 * -1 + -1p * -1)] = 5(5p + -2) -4[p + (-5 + 1p)] = 5(5p + -2) Reorder the terms: -4[-5 + p + 1p] = 5(5p + -2) Combine like terms: p + 1p = 2p -4[-5 + 2p] = 5(5p + -2) [-5 * -4 + 2p * -4] = 5(5p + -2) [20 + -8p] = 5(5p + -2) Reorder the terms: 20 + -8p = 5(-2 + 5p) 20 + -8p = (-2 * 5 + 5p * 5) 20 + -8p = (-10 + 25p) Solving 20 + -8p = -10 + 25p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-25p' to each side of the equation. 20 + -8p + -25p = -10 + 25p + -25p Combine like terms: -8p + -25p = -33p 20 + -33p = -10 + 25p + -25p Combine like terms: 25p + -25p = 0 20 + -33p = -10 + 0 20 + -33p = -10 Add '-20' to each side of the equation. 20 + -20 + -33p = -10 + -20 Combine like terms: 20 + -20 = 0 0 + -33p = -10 + -20 -33p = -10 + -20 Combine like terms: -10 + -20 = -30 -33p = -30 Divide each side by '-33'. p = 0.9090909091 Simplifying p = 0.9090909091
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