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Simplifying 2c + 1 = 17c + 13 + -16c Reorder the terms: 1 + 2c = 17c + 13 + -16c Reorder the terms: 1 + 2c = 13 + 17c + -16c Combine like terms: 17c + -16c = 1c 1 + 2c = 13 + 1c Solving 1 + 2c = 13 + 1c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 1 + 2c + -1c = 13 + 1c + -1c Combine like terms: 2c + -1c = 1c 1 + 1c = 13 + 1c + -1c Combine like terms: 1c + -1c = 0 1 + 1c = 13 + 0 1 + 1c = 13 Add '-1' to each side of the equation. 1 + -1 + 1c = 13 + -1 Combine like terms: 1 + -1 = 0 0 + 1c = 13 + -1 1c = 13 + -1 Combine like terms: 13 + -1 = 12 1c = 12 Divide each side by '1'. c = 12 Simplifying c = 12
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