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Simplifying 50p + 15 = 30 + 40(1 + -1p) + 10 + 10 Reorder the terms: 15 + 50p = 30 + 40(1 + -1p) + 10 + 10 15 + 50p = 30 + (1 * 40 + -1p * 40) + 10 + 10 15 + 50p = 30 + (40 + -40p) + 10 + 10 Reorder the terms: 15 + 50p = 30 + 40 + 10 + 10 + -40p Combine like terms: 30 + 40 = 70 15 + 50p = 70 + 10 + 10 + -40p Combine like terms: 70 + 10 = 80 15 + 50p = 80 + 10 + -40p Combine like terms: 80 + 10 = 90 15 + 50p = 90 + -40p Solving 15 + 50p = 90 + -40p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '40p' to each side of the equation. 15 + 50p + 40p = 90 + -40p + 40p Combine like terms: 50p + 40p = 90p 15 + 90p = 90 + -40p + 40p Combine like terms: -40p + 40p = 0 15 + 90p = 90 + 0 15 + 90p = 90 Add '-15' to each side of the equation. 15 + -15 + 90p = 90 + -15 Combine like terms: 15 + -15 = 0 0 + 90p = 90 + -15 90p = 90 + -15 Combine like terms: 90 + -15 = 75 90p = 75 Divide each side by '90'. p = 0.8333333333 Simplifying p = 0.8333333333
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