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Simplifying 0.40C + (0.50)(500 + -1C) = 220.00 0.40C + (500 * 0.50 + -1C * 0.50) = 220.00 0.40C + (250 + -0.5C) = 220.00 Reorder the terms: 250 + 0.40C + -0.5C = 220.00 Combine like terms: 0.40C + -0.5C = -0.1C 250 + -0.1C = 220.00 Solving 250 + -0.1C = 220.00 Solving for variable 'C'. Move all terms containing C to the left, all other terms to the right. Add '-250' to each side of the equation. 250 + -250 + -0.1C = 220.00 + -250 Combine like terms: 250 + -250 = 0 0 + -0.1C = 220.00 + -250 -0.1C = 220.00 + -250 Combine like terms: 220.00 + -250 = -30 -0.1C = -30 Divide each side by '-0.1'. C = 300 Simplifying C = 300
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