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Simplifying 0.75c + (0.40)(400 + -1C) = 265 0.75c + (400 * 0.40 + -1C * 0.40) = 265 0.75c + (160 + -0.4C) = 265 Reorder the terms: 160 + -0.4C + 0.75c = 265 Solving 160 + -0.4C + 0.75c = 265 Solving for variable 'C'. Move all terms containing C to the left, all other terms to the right. Add '-160' to each side of the equation. 160 + -0.4C + -160 + 0.75c = 265 + -160 Reorder the terms: 160 + -160 + -0.4C + 0.75c = 265 + -160 Combine like terms: 160 + -160 = 0 0 + -0.4C + 0.75c = 265 + -160 -0.4C + 0.75c = 265 + -160 Combine like terms: 265 + -160 = 105 -0.4C + 0.75c = 105 Add '-0.75c' to each side of the equation. -0.4C + 0.75c + -0.75c = 105 + -0.75c Combine like terms: 0.75c + -0.75c = 0.00 -0.4C + 0.00 = 105 + -0.75c -0.4C = 105 + -0.75c Divide each side by '-0.4'. C = -262.5 + 1.875c Simplifying C = -262.5 + 1.875c
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