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Simplifying 6c + 13 = 7c + -6c + 2c Reorder the terms: 13 + 6c = 7c + -6c + 2c Combine like terms: 7c + -6c = 1c 13 + 6c = 1c + 2c Combine like terms: 1c + 2c = 3c 13 + 6c = 3c Solving 13 + 6c = 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 13 + 6c + -3c = 3c + -3c Combine like terms: 6c + -3c = 3c 13 + 3c = 3c + -3c Combine like terms: 3c + -3c = 0 13 + 3c = 0 Add '-13' to each side of the equation. 13 + -13 + 3c = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 3c = 0 + -13 3c = 0 + -13 Combine like terms: 0 + -13 = -13 3c = -13 Divide each side by '3'. c = -4.333333333 Simplifying c = -4.333333333
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