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Simplifying (-80) * p + 60(1 + -1p) = 70p + (-50)(1 + -1p) -80p + (1 * 60 + -1p * 60) = 70p + (-50)(1 + -1p) -80p + (60 + -60p) = 70p + (-50)(1 + -1p) Reorder the terms: 60 + -80p + -60p = 70p + (-50)(1 + -1p) Combine like terms: -80p + -60p = -140p 60 + -140p = 70p + (-50)(1 + -1p) 60 + -140p = 70p + (1 * -50 + -1p * -50) 60 + -140p = 70p + (-50 + 50p) Reorder the terms: 60 + -140p = -50 + 70p + 50p Combine like terms: 70p + 50p = 120p 60 + -140p = -50 + 120p Solving 60 + -140p = -50 + 120p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-120p' to each side of the equation. 60 + -140p + -120p = -50 + 120p + -120p Combine like terms: -140p + -120p = -260p 60 + -260p = -50 + 120p + -120p Combine like terms: 120p + -120p = 0 60 + -260p = -50 + 0 60 + -260p = -50 Add '-60' to each side of the equation. 60 + -60 + -260p = -50 + -60 Combine like terms: 60 + -60 = 0 0 + -260p = -50 + -60 -260p = -50 + -60 Combine like terms: -50 + -60 = -110 -260p = -110 Divide each side by '-260'. p = 0.4230769231 Simplifying p = 0.4230769231
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