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Simplifying 50 + 15(1 + -1p) = 30 + 10 + 10 + 15p 50 + (1 * 15 + -1p * 15) = 30 + 10 + 10 + 15p 50 + (15 + -15p) = 30 + 10 + 10 + 15p Combine like terms: 50 + 15 = 65 65 + -15p = 30 + 10 + 10 + 15p Combine like terms: 30 + 10 = 40 65 + -15p = 40 + 10 + 15p Combine like terms: 40 + 10 = 50 65 + -15p = 50 + 15p Solving 65 + -15p = 50 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. 65 + -15p + -15p = 50 + 15p + -15p Combine like terms: -15p + -15p = -30p 65 + -30p = 50 + 15p + -15p Combine like terms: 15p + -15p = 0 65 + -30p = 50 + 0 65 + -30p = 50 Add '-65' to each side of the equation. 65 + -65 + -30p = 50 + -65 Combine like terms: 65 + -65 = 0 0 + -30p = 50 + -65 -30p = 50 + -65 Combine like terms: 50 + -65 = -15 -30p = -15 Divide each side by '-30'. p = 0.5 Simplifying p = 0.5
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