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Simplifying 50 + 10(1 + -1p) = 30 + 10p 50 + (1 * 10 + -1p * 10) = 30 + 10p 50 + (10 + -10p) = 30 + 10p Combine like terms: 50 + 10 = 60 60 + -10p = 30 + 10p Solving 60 + -10p = 30 + 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. 60 + -10p + -10p = 30 + 10p + -10p Combine like terms: -10p + -10p = -20p 60 + -20p = 30 + 10p + -10p Combine like terms: 10p + -10p = 0 60 + -20p = 30 + 0 60 + -20p = 30 Add '-60' to each side of the equation. 60 + -60 + -20p = 30 + -60 Combine like terms: 60 + -60 = 0 0 + -20p = 30 + -60 -20p = 30 + -60 Combine like terms: 30 + -60 = -30 -20p = -30 Divide each side by '-20'. p = 1.5 Simplifying p = 1.5
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