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Simplifying 0.5(c + 2.8) + -1c = 0.6c + 0.3 Reorder the terms: 0.5(2.8 + c) + -1c = 0.6c + 0.3 (2.8 * 0.5 + c * 0.5) + -1c = 0.6c + 0.3 (1.4 + 0.5c) + -1c = 0.6c + 0.3 Combine like terms: 0.5c + -1c = -0.5c 1.4 + -0.5c = 0.6c + 0.3 Reorder the terms: 1.4 + -0.5c = 0.3 + 0.6c Solving 1.4 + -0.5c = 0.3 + 0.6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-0.6c' to each side of the equation. 1.4 + -0.5c + -0.6c = 0.3 + 0.6c + -0.6c Combine like terms: -0.5c + -0.6c = -1.1c 1.4 + -1.1c = 0.3 + 0.6c + -0.6c Combine like terms: 0.6c + -0.6c = 0.0 1.4 + -1.1c = 0.3 + 0.0 1.4 + -1.1c = 0.3 Add '-1.4' to each side of the equation. 1.4 + -1.4 + -1.1c = 0.3 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + -1.1c = 0.3 + -1.4 -1.1c = 0.3 + -1.4 Combine like terms: 0.3 + -1.4 = -1.1 -1.1c = -1.1 Divide each side by '-1.1'. c = 1 Simplifying c = 1
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