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Simplifying 5c + 14 = 3c + 2 Reorder the terms: 14 + 5c = 3c + 2 Reorder the terms: 14 + 5c = 2 + 3c Solving 14 + 5c = 2 + 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. 14 + 5c + -3c = 2 + 3c + -3c Combine like terms: 5c + -3c = 2c 14 + 2c = 2 + 3c + -3c Combine like terms: 3c + -3c = 0 14 + 2c = 2 + 0 14 + 2c = 2 Add '-14' to each side of the equation. 14 + -14 + 2c = 2 + -14 Combine like terms: 14 + -14 = 0 0 + 2c = 2 + -14 2c = 2 + -14 Combine like terms: 2 + -14 = -12 2c = -12 Divide each side by '2'. c = -6 Simplifying c = -6
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