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Simplifying 0.50C + (0.40)(500 + -1c) = 240 0.50C + (500 * 0.40 + -1c * 0.40) = 240 0.50C + (200 + -0.4c) = 240 Reorder the terms: 200 + 0.50C + -0.4c = 240 Solving 200 + 0.50C + -0.4c = 240 Solving for variable 'C'. Move all terms containing C to the left, all other terms to the right. Add '-200' to each side of the equation. 200 + 0.50C + -200 + -0.4c = 240 + -200 Reorder the terms: 200 + -200 + 0.50C + -0.4c = 240 + -200 Combine like terms: 200 + -200 = 0 0 + 0.50C + -0.4c = 240 + -200 0.50C + -0.4c = 240 + -200 Combine like terms: 240 + -200 = 40 0.50C + -0.4c = 40 Add '0.4c' to each side of the equation. 0.50C + -0.4c + 0.4c = 40 + 0.4c Combine like terms: -0.4c + 0.4c = 0.0 0.50C + 0.0 = 40 + 0.4c 0.50C = 40 + 0.4c Divide each side by '0.50'. C = 80 + 0.8c Simplifying C = 80 + 0.8c
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