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Simplifying 20p + (-15)(1 + -1p) = -20p + 30(1 + -1p) 20p + (1 * -15 + -1p * -15) = -20p + 30(1 + -1p) 20p + (-15 + 15p) = -20p + 30(1 + -1p) Reorder the terms: -15 + 20p + 15p = -20p + 30(1 + -1p) Combine like terms: 20p + 15p = 35p -15 + 35p = -20p + 30(1 + -1p) -15 + 35p = -20p + (1 * 30 + -1p * 30) -15 + 35p = -20p + (30 + -30p) Reorder the terms: -15 + 35p = 30 + -20p + -30p Combine like terms: -20p + -30p = -50p -15 + 35p = 30 + -50p Solving -15 + 35p = 30 + -50p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '50p' to each side of the equation. -15 + 35p + 50p = 30 + -50p + 50p Combine like terms: 35p + 50p = 85p -15 + 85p = 30 + -50p + 50p Combine like terms: -50p + 50p = 0 -15 + 85p = 30 + 0 -15 + 85p = 30 Add '15' to each side of the equation. -15 + 15 + 85p = 30 + 15 Combine like terms: -15 + 15 = 0 0 + 85p = 30 + 15 85p = 30 + 15 Combine like terms: 30 + 15 = 45 85p = 45 Divide each side by '85'. p = 0.5294117647 Simplifying p = 0.5294117647
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