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Simplifying 0.5(c + 2.8) + -1C = 0.6c + 0.4 Reorder the terms: 0.5(2.8 + c) + -1C = 0.6c + 0.4 (2.8 * 0.5 + c * 0.5) + -1C = 0.6c + 0.4 (1.4 + 0.5c) + -1C = 0.6c + 0.4 Reorder the terms: 1.4 + -1C + 0.5c = 0.6c + 0.4 Reorder the terms: 1.4 + -1C + 0.5c = 0.4 + 0.6c Solving 1.4 + -1C + 0.5c = 0.4 + 0.6c Solving for variable 'C'. Move all terms containing C to the left, all other terms to the right. Add '-1.4' to each side of the equation. 1.4 + -1C + -1.4 + 0.5c = 0.4 + -1.4 + 0.6c Reorder the terms: 1.4 + -1.4 + -1C + 0.5c = 0.4 + -1.4 + 0.6c Combine like terms: 1.4 + -1.4 = 0.0 0.0 + -1C + 0.5c = 0.4 + -1.4 + 0.6c -1C + 0.5c = 0.4 + -1.4 + 0.6c Combine like terms: 0.4 + -1.4 = -1 -1C + 0.5c = -1 + 0.6c Add '-0.5c' to each side of the equation. -1C + 0.5c + -0.5c = -1 + 0.6c + -0.5c Combine like terms: 0.5c + -0.5c = 0.0 -1C + 0.0 = -1 + 0.6c + -0.5c -1C = -1 + 0.6c + -0.5c Combine like terms: 0.6c + -0.5c = 0.1c -1C = -1 + 0.1c Divide each side by '-1'. C = 1 + -0.1c Simplifying C = 1 + -0.1c
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