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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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