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Simplifying 5c + 2 = 3c + 13 Reorder the terms: 2 + 5c = 3c + 13 Reorder the terms: 2 + 5c = 13 + 3c Solving 2 + 5c = 13 + 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 = 13 + 3c + -3c Combine like terms: 5c + -3c = 2c 2 + 2c = 13 + 3c + -3c Combine like terms: 3c + -3c = 0 2 + 2c = 13 + 0 2 + 2c = 13 Add '-2' to each side of the equation. 2 + -2 + 2c = 13 + -2 Combine like terms: 2 + -2 = 0 0 + 2c = 13 + -2 2c = 13 + -2 Combine like terms: 13 + -2 = 11 2c = 11 Divide each side by '2'. c = 5.5 Simplifying c = 5.5
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