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Simplifying 50 = 60p + 40(1 + -1p) 50 = 60p + (1 * 40 + -1p * 40) 50 = 60p + (40 + -40p) Reorder the terms: 50 = 40 + 60p + -40p Combine like terms: 60p + -40p = 20p 50 = 40 + 20p Solving 50 = 40 + 20p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-20p' to each side of the equation. 50 + -20p = 40 + 20p + -20p Combine like terms: 20p + -20p = 0 50 + -20p = 40 + 0 50 + -20p = 40 Add '-50' to each side of the equation. 50 + -50 + -20p = 40 + -50 Combine like terms: 50 + -50 = 0 0 + -20p = 40 + -50 -20p = 40 + -50 Combine like terms: 40 + -50 = -10 -20p = -10 Divide each side by '-20'. p = 0.5 Simplifying p = 0.5
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