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Simplifying 9.5(c + 8) = 0.25c Reorder the terms: 9.5(8 + c) = 0.25c (8 * 9.5 + c * 9.5) = 0.25c (76 + 9.5c) = 0.25c Solving 76 + 9.5c = 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. 76 + 9.5c + -0.25c = 0.25c + -0.25c Combine like terms: 9.5c + -0.25c = 9.25c 76 + 9.25c = 0.25c + -0.25c Combine like terms: 0.25c + -0.25c = 0.00 76 + 9.25c = 0.00 Add '-76' to each side of the equation. 76 + -76 + 9.25c = 0.00 + -76 Combine like terms: 76 + -76 = 0 0 + 9.25c = 0.00 + -76 9.25c = 0.00 + -76 Combine like terms: 0.00 + -76 = -76 9.25c = -76 Divide each side by '9.25'. c = -8.216216216 Simplifying c = -8.216216216
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