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Simplifying 15.2c + 6 = 6.9c + 58.29 Reorder the terms: 6 + 15.2c = 6.9c + 58.29 Reorder the terms: 6 + 15.2c = 58.29 + 6.9c Solving 6 + 15.2c = 58.29 + 6.9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6.9c' to each side of the equation. 6 + 15.2c + -6.9c = 58.29 + 6.9c + -6.9c Combine like terms: 15.2c + -6.9c = 8.3c 6 + 8.3c = 58.29 + 6.9c + -6.9c Combine like terms: 6.9c + -6.9c = 0.0 6 + 8.3c = 58.29 + 0.0 6 + 8.3c = 58.29 Add '-6' to each side of the equation. 6 + -6 + 8.3c = 58.29 + -6 Combine like terms: 6 + -6 = 0 0 + 8.3c = 58.29 + -6 8.3c = 58.29 + -6 Combine like terms: 58.29 + -6 = 52.29 8.3c = 52.29 Divide each side by '8.3'. c = 6.3 Simplifying c = 6.3
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