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Simplifying 2 + 16c = 14(c + 2) Reorder the terms: 2 + 16c = 14(2 + c) 2 + 16c = (2 * 14 + c * 14) 2 + 16c = (28 + 14c) Solving 2 + 16c = 28 + 14c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-14c' to each side of the equation. 2 + 16c + -14c = 28 + 14c + -14c Combine like terms: 16c + -14c = 2c 2 + 2c = 28 + 14c + -14c Combine like terms: 14c + -14c = 0 2 + 2c = 28 + 0 2 + 2c = 28 Add '-2' to each side of the equation. 2 + -2 + 2c = 28 + -2 Combine like terms: 2 + -2 = 0 0 + 2c = 28 + -2 2c = 28 + -2 Combine like terms: 28 + -2 = 26 2c = 26 Divide each side by '2'. c = 13 Simplifying c = 13
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