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Simplifying 15 + 50(1 + -1p) = 30 + 10 + 10 + 40p 15 + (1 * 50 + -1p * 50) = 30 + 10 + 10 + 40p 15 + (50 + -50p) = 30 + 10 + 10 + 40p Combine like terms: 15 + 50 = 65 65 + -50p = 30 + 10 + 10 + 40p Combine like terms: 30 + 10 = 40 65 + -50p = 40 + 10 + 40p Combine like terms: 40 + 10 = 50 65 + -50p = 50 + 40p Solving 65 + -50p = 50 + 40p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-40p' to each side of the equation. 65 + -50p + -40p = 50 + 40p + -40p Combine like terms: -50p + -40p = -90p 65 + -90p = 50 + 40p + -40p Combine like terms: 40p + -40p = 0 65 + -90p = 50 + 0 65 + -90p = 50 Add '-65' to each side of the equation. 65 + -65 + -90p = 50 + -65 Combine like terms: 65 + -65 = 0 0 + -90p = 50 + -65 -90p = 50 + -65 Combine like terms: 50 + -65 = -15 -90p = -15 Divide each side by '-90'. p = 0.1666666667 Simplifying p = 0.1666666667
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