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Simplifying (-40) * p + 50(1 + -1p) = 60p + 40(1 + -1p) -40p + (1 * 50 + -1p * 50) = 60p + 40(1 + -1p) -40p + (50 + -50p) = 60p + 40(1 + -1p) Reorder the terms: 50 + -40p + -50p = 60p + 40(1 + -1p) Combine like terms: -40p + -50p = -90p 50 + -90p = 60p + 40(1 + -1p) 50 + -90p = 60p + (1 * 40 + -1p * 40) 50 + -90p = 60p + (40 + -40p) Reorder the terms: 50 + -90p = 40 + 60p + -40p Combine like terms: 60p + -40p = 20p 50 + -90p = 40 + 20p Solving 50 + -90p = 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 + -90p + -20p = 40 + 20p + -20p Combine like terms: -90p + -20p = -110p 50 + -110p = 40 + 20p + -20p Combine like terms: 20p + -20p = 0 50 + -110p = 40 + 0 50 + -110p = 40 Add '-50' to each side of the equation. 50 + -50 + -110p = 40 + -50 Combine like terms: 50 + -50 = 0 0 + -110p = 40 + -50 -110p = 40 + -50 Combine like terms: 40 + -50 = -10 -110p = -10 Divide each side by '-110'. p = 0.09090909091 Simplifying p = 0.09090909091
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