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Simplifying 0.5(c + -6) = 0.25c Reorder the terms: 0.5(-6 + c) = 0.25c (-6 * 0.5 + c * 0.5) = 0.25c (-3 + 0.5c) = 0.25c Solving -3 + 0.5c = 0.25c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-0.25c' to each side of the equation. -3 + 0.5c + -0.25c = 0.25c + -0.25c Combine like terms: 0.5c + -0.25c = 0.25c -3 + 0.25c = 0.25c + -0.25c Combine like terms: 0.25c + -0.25c = 0.00 -3 + 0.25c = 0.00 Add '3' to each side of the equation. -3 + 3 + 0.25c = 0.00 + 3 Combine like terms: -3 + 3 = 0 0 + 0.25c = 0.00 + 3 0.25c = 0.00 + 3 Combine like terms: 0.00 + 3 = 3 0.25c = 3 Divide each side by '0.25'. c = 12 Simplifying c = 12
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