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Simplifying 6c + 13 = 7c + -6 + 2c Reorder the terms: 13 + 6c = 7c + -6 + 2c Reorder the terms: 13 + 6c = -6 + 7c + 2c Combine like terms: 7c + 2c = 9c 13 + 6c = -6 + 9c Solving 13 + 6c = -6 + 9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9c' to each side of the equation. 13 + 6c + -9c = -6 + 9c + -9c Combine like terms: 6c + -9c = -3c 13 + -3c = -6 + 9c + -9c Combine like terms: 9c + -9c = 0 13 + -3c = -6 + 0 13 + -3c = -6 Add '-13' to each side of the equation. 13 + -13 + -3c = -6 + -13 Combine like terms: 13 + -13 = 0 0 + -3c = -6 + -13 -3c = -6 + -13 Combine like terms: -6 + -13 = -19 -3c = -19 Divide each side by '-3'. c = 6.333333333 Simplifying c = 6.333333333
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