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