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Simplifying 50 + 15 + 10(1 + -1p) = 30 + 10 + 10p 50 + 15 + (1 * 10 + -1p * 10) = 30 + 10 + 10p 50 + 15 + (10 + -10p) = 30 + 10 + 10p Combine like terms: 50 + 15 = 65 65 + 10 + -10p = 30 + 10 + 10p Combine like terms: 65 + 10 = 75 75 + -10p = 30 + 10 + 10p Combine like terms: 30 + 10 = 40 75 + -10p = 40 + 10p Solving 75 + -10p = 40 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. 75 + -10p + -10p = 40 + 10p + -10p Combine like terms: -10p + -10p = -20p 75 + -20p = 40 + 10p + -10p Combine like terms: 10p + -10p = 0 75 + -20p = 40 + 0 75 + -20p = 40 Add '-75' to each side of the equation. 75 + -75 + -20p = 40 + -75 Combine like terms: 75 + -75 = 0 0 + -20p = 40 + -75 -20p = 40 + -75 Combine like terms: 40 + -75 = -35 -20p = -35 Divide each side by '-20'. p = 1.75 Simplifying p = 1.75
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