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Simplifying 5c + 4.6 = 6.2c + -7.16 Reorder the terms: 4.6 + 5c = 6.2c + -7.16 Reorder the terms: 4.6 + 5c = -7.16 + 6.2c Solving 4.6 + 5c = -7.16 + 6.2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6.2c' to each side of the equation. 4.6 + 5c + -6.2c = -7.16 + 6.2c + -6.2c Combine like terms: 5c + -6.2c = -1.2c 4.6 + -1.2c = -7.16 + 6.2c + -6.2c Combine like terms: 6.2c + -6.2c = 0.0 4.6 + -1.2c = -7.16 + 0.0 4.6 + -1.2c = -7.16 Add '-4.6' to each side of the equation. 4.6 + -4.6 + -1.2c = -7.16 + -4.6 Combine like terms: 4.6 + -4.6 = 0.0 0.0 + -1.2c = -7.16 + -4.6 -1.2c = -7.16 + -4.6 Combine like terms: -7.16 + -4.6 = -11.76 -1.2c = -11.76 Divide each side by '-1.2'. c = 9.8 Simplifying c = 9.8
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