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Simplifying 15 + 50 + 5(1 + -1p) = 30 + 10 + 10p 15 + 50 + (1 * 5 + -1p * 5) = 30 + 10 + 10p 15 + 50 + (5 + -5p) = 30 + 10 + 10p Combine like terms: 15 + 50 = 65 65 + 5 + -5p = 30 + 10 + 10p Combine like terms: 65 + 5 = 70 70 + -5p = 30 + 10 + 10p Combine like terms: 30 + 10 = 40 70 + -5p = 40 + 10p Solving 70 + -5p = 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. 70 + -5p + -10p = 40 + 10p + -10p Combine like terms: -5p + -10p = -15p 70 + -15p = 40 + 10p + -10p Combine like terms: 10p + -10p = 0 70 + -15p = 40 + 0 70 + -15p = 40 Add '-70' to each side of the equation. 70 + -70 + -15p = 40 + -70 Combine like terms: 70 + -70 = 0 0 + -15p = 40 + -70 -15p = 40 + -70 Combine like terms: 40 + -70 = -30 -15p = -30 Divide each side by '-15'. p = 2 Simplifying p = 2
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