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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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