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Simplifying 40.6 = 5.2c + 97.8 Reorder the terms: 40.6 = 97.8 + 5.2c Solving 40.6 = 97.8 + 5.2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5.2c' to each side of the equation. 40.6 + -5.2c = 97.8 + 5.2c + -5.2c Combine like terms: 5.2c + -5.2c = 0.0 40.6 + -5.2c = 97.8 + 0.0 40.6 + -5.2c = 97.8 Add '-40.6' to each side of the equation. 40.6 + -40.6 + -5.2c = 97.8 + -40.6 Combine like terms: 40.6 + -40.6 = 0.0 0.0 + -5.2c = 97.8 + -40.6 -5.2c = 97.8 + -40.6 Combine like terms: 97.8 + -40.6 = 57.2 -5.2c = 57.2 Divide each side by '-5.2'. c = -11 Simplifying c = -11
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