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Simplifying -20p + 10(1 + -1p) = 10p + -20(1 + -1p) -20p + (1 * 10 + -1p * 10) = 10p + -20(1 + -1p) -20p + (10 + -10p) = 10p + -20(1 + -1p) Reorder the terms: 10 + -20p + -10p = 10p + -20(1 + -1p) Combine like terms: -20p + -10p = -30p 10 + -30p = 10p + -20(1 + -1p) 10 + -30p = 10p + (1 * -20 + -1p * -20) 10 + -30p = 10p + (-20 + 20p) Reorder the terms: 10 + -30p = -20 + 10p + 20p Combine like terms: 10p + 20p = 30p 10 + -30p = -20 + 30p Solving 10 + -30p = -20 + 30p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-30p' to each side of the equation. 10 + -30p + -30p = -20 + 30p + -30p Combine like terms: -30p + -30p = -60p 10 + -60p = -20 + 30p + -30p Combine like terms: 30p + -30p = 0 10 + -60p = -20 + 0 10 + -60p = -20 Add '-10' to each side of the equation. 10 + -10 + -60p = -20 + -10 Combine like terms: 10 + -10 = 0 0 + -60p = -20 + -10 -60p = -20 + -10 Combine like terms: -20 + -10 = -30 -60p = -30 Divide each side by '-60'. p = 0.5 Simplifying p = 0.5
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