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Simplifying 0p + 150(1 + -1p) = 100p + 100(1 + -1p) Anything times zero is zero. 0p + 150(1 + -1p) = 100p + 100(1 + -1p) 0 + (1 * 150 + -1p * 150) = 100p + 100(1 + -1p) 0 + (150 + -150p) = 100p + 100(1 + -1p) Combine like terms: 0 + 150 = 150 150 + -150p = 100p + 100(1 + -1p) 150 + -150p = 100p + (1 * 100 + -1p * 100) 150 + -150p = 100p + (100 + -100p) Reorder the terms: 150 + -150p = 100 + 100p + -100p Combine like terms: 100p + -100p = 0 150 + -150p = 100 + 0 150 + -150p = 100 Solving 150 + -150p = 100 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-150' to each side of the equation. 150 + -150 + -150p = 100 + -150 Combine like terms: 150 + -150 = 0 0 + -150p = 100 + -150 -150p = 100 + -150 Combine like terms: 100 + -150 = -50 -150p = -50 Divide each side by '-150'. p = 0.3333333333 Simplifying p = 0.3333333333
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