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Simplifying 14.45 + 18.5c = 13.7c + 12.75 + 8.2c Reorder the terms: 14.45 + 18.5c = 12.75 + 13.7c + 8.2c Combine like terms: 13.7c + 8.2c = 21.9c 14.45 + 18.5c = 12.75 + 21.9c Solving 14.45 + 18.5c = 12.75 + 21.9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-21.9c' to each side of the equation. 14.45 + 18.5c + -21.9c = 12.75 + 21.9c + -21.9c Combine like terms: 18.5c + -21.9c = -3.4c 14.45 + -3.4c = 12.75 + 21.9c + -21.9c Combine like terms: 21.9c + -21.9c = 0.0 14.45 + -3.4c = 12.75 + 0.0 14.45 + -3.4c = 12.75 Add '-14.45' to each side of the equation. 14.45 + -14.45 + -3.4c = 12.75 + -14.45 Combine like terms: 14.45 + -14.45 = 0.00 0.00 + -3.4c = 12.75 + -14.45 -3.4c = 12.75 + -14.45 Combine like terms: 12.75 + -14.45 = -1.7 -3.4c = -1.7 Divide each side by '-3.4'. c = 0.5 Simplifying c = 0.5
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