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Simplifying 14 = 2(c + 1) Reorder the terms: 14 = 2(1 + c) 14 = (1 * 2 + c * 2) 14 = (2 + 2c) Solving 14 = 2 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. 14 + -2c = 2 + 2c + -2c Combine like terms: 2c + -2c = 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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