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Simplifying 40 + 10(1 + -1p) = 65 + 10p 40 + (1 * 10 + -1p * 10) = 65 + 10p 40 + (10 + -10p) = 65 + 10p Combine like terms: 40 + 10 = 50 50 + -10p = 65 + 10p Solving 50 + -10p = 65 + 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. 50 + -10p + -10p = 65 + 10p + -10p Combine like terms: -10p + -10p = -20p 50 + -20p = 65 + 10p + -10p Combine like terms: 10p + -10p = 0 50 + -20p = 65 + 0 50 + -20p = 65 Add '-50' to each side of the equation. 50 + -50 + -20p = 65 + -50 Combine like terms: 50 + -50 = 0 0 + -20p = 65 + -50 -20p = 65 + -50 Combine like terms: 65 + -50 = 15 -20p = 15 Divide each side by '-20'. p = -0.75 Simplifying p = -0.75
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