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Simplifying 0.5(c + 28) + -1c = 0.6c + 0.3 Reorder the terms: 0.5(28 + c) + -1c = 0.6c + 0.3 (28 * 0.5 + c * 0.5) + -1c = 0.6c + 0.3 (14 + 0.5c) + -1c = 0.6c + 0.3 Combine like terms: 0.5c + -1c = -0.5c 14 + -0.5c = 0.6c + 0.3 Reorder the terms: 14 + -0.5c = 0.3 + 0.6c Solving 14 + -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. 14 + -0.5c + -0.6c = 0.3 + 0.6c + -0.6c Combine like terms: -0.5c + -0.6c = -1.1c 14 + -1.1c = 0.3 + 0.6c + -0.6c Combine like terms: 0.6c + -0.6c = 0.0 14 + -1.1c = 0.3 + 0.0 14 + -1.1c = 0.3 Add '-14' to each side of the equation. 14 + -14 + -1.1c = 0.3 + -14 Combine like terms: 14 + -14 = 0 0 + -1.1c = 0.3 + -14 -1.1c = 0.3 + -14 Combine like terms: 0.3 + -14 = -13.7 -1.1c = -13.7 Divide each side by '-1.1'. c = 12.45454545 Simplifying c = 12.45454545
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