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Simplifying -20p + 20(1 + -1p) = 15p + (-30)(1 + -1p) -20p + (1 * 20 + -1p * 20) = 15p + (-30)(1 + -1p) -20p + (20 + -20p) = 15p + (-30)(1 + -1p) Reorder the terms: 20 + -20p + -20p = 15p + (-30)(1 + -1p) Combine like terms: -20p + -20p = -40p 20 + -40p = 15p + (-30)(1 + -1p) 20 + -40p = 15p + (1 * -30 + -1p * -30) 20 + -40p = 15p + (-30 + 30p) Reorder the terms: 20 + -40p = -30 + 15p + 30p Combine like terms: 15p + 30p = 45p 20 + -40p = -30 + 45p Solving 20 + -40p = -30 + 45p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-45p' to each side of the equation. 20 + -40p + -45p = -30 + 45p + -45p Combine like terms: -40p + -45p = -85p 20 + -85p = -30 + 45p + -45p Combine like terms: 45p + -45p = 0 20 + -85p = -30 + 0 20 + -85p = -30 Add '-20' to each side of the equation. 20 + -20 + -85p = -30 + -20 Combine like terms: 20 + -20 = 0 0 + -85p = -30 + -20 -85p = -30 + -20 Combine like terms: -30 + -20 = -50 -85p = -50 Divide each side by '-85'. p = 0.5882352941 Simplifying p = 0.5882352941
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