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Simplifying 6c + 31 = 4c + 13 Reorder the terms: 31 + 6c = 4c + 13 Reorder the terms: 31 + 6c = 13 + 4c Solving 31 + 6c = 13 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. 31 + 6c + -4c = 13 + 4c + -4c Combine like terms: 6c + -4c = 2c 31 + 2c = 13 + 4c + -4c Combine like terms: 4c + -4c = 0 31 + 2c = 13 + 0 31 + 2c = 13 Add '-31' to each side of the equation. 31 + -31 + 2c = 13 + -31 Combine like terms: 31 + -31 = 0 0 + 2c = 13 + -31 2c = 13 + -31 Combine like terms: 13 + -31 = -18 2c = -18 Divide each side by '2'. c = -9 Simplifying c = -9
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