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Simplifying 0.5(c + 8) = 0.25c Reorder the terms: 0.5(8 + c) = 0.25c (8 * 0.5 + c * 0.5) = 0.25c (4 + 0.5c) = 0.25c Solving 4 + 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. 4 + 0.5c + -0.25c = 0.25c + -0.25c Combine like terms: 0.5c + -0.25c = 0.25c 4 + 0.25c = 0.25c + -0.25c Combine like terms: 0.25c + -0.25c = 0.00 4 + 0.25c = 0.00 Add '-4' to each side of the equation. 4 + -4 + 0.25c = 0.00 + -4 Combine like terms: 4 + -4 = 0 0 + 0.25c = 0.00 + -4 0.25c = 0.00 + -4 Combine like terms: 0.00 + -4 = -4 0.25c = -4 Divide each side by '0.25'. c = -16 Simplifying c = -16
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