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Simplifying 0.5c + 56.8 = 3c + -123.2 Reorder the terms: 56.8 + 0.5c = 3c + -123.2 Reorder the terms: 56.8 + 0.5c = -123.2 + 3c Solving 56.8 + 0.5c = -123.2 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 56.8 + 0.5c + -3c = -123.2 + 3c + -3c Combine like terms: 0.5c + -3c = -2.5c 56.8 + -2.5c = -123.2 + 3c + -3c Combine like terms: 3c + -3c = 0 56.8 + -2.5c = -123.2 + 0 56.8 + -2.5c = -123.2 Add '-56.8' to each side of the equation. 56.8 + -56.8 + -2.5c = -123.2 + -56.8 Combine like terms: 56.8 + -56.8 = 0.0 0.0 + -2.5c = -123.2 + -56.8 -2.5c = -123.2 + -56.8 Combine like terms: -123.2 + -56.8 = -180 -2.5c = -180 Divide each side by '-2.5'. c = 72 Simplifying c = 72
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