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Simplifying 6.8c + -19.66 = 14.5c + 15.71 + -4.57 Reorder the terms: -19.66 + 6.8c = 14.5c + 15.71 + -4.57 Reorder the terms: -19.66 + 6.8c = 15.71 + -4.57 + 14.5c Combine like terms: 15.71 + -4.57 = 11.14 -19.66 + 6.8c = 11.14 + 14.5c Solving -19.66 + 6.8c = 11.14 + 14.5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-14.5c' to each side of the equation. -19.66 + 6.8c + -14.5c = 11.14 + 14.5c + -14.5c Combine like terms: 6.8c + -14.5c = -7.7c -19.66 + -7.7c = 11.14 + 14.5c + -14.5c Combine like terms: 14.5c + -14.5c = 0.0 -19.66 + -7.7c = 11.14 + 0.0 -19.66 + -7.7c = 11.14 Add '19.66' to each side of the equation. -19.66 + 19.66 + -7.7c = 11.14 + 19.66 Combine like terms: -19.66 + 19.66 = 0.00 0.00 + -7.7c = 11.14 + 19.66 -7.7c = 11.14 + 19.66 Combine like terms: 11.14 + 19.66 = 30.8 -7.7c = 30.8 Divide each side by '-7.7'. c = -4 Simplifying c = -4
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