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Simplifying 2(c + 3) + 8 = 32 Reorder the terms: 2(3 + c) + 8 = 32 (3 * 2 + c * 2) + 8 = 32 (6 + 2c) + 8 = 32 Reorder the terms: 6 + 8 + 2c = 32 Combine like terms: 6 + 8 = 14 14 + 2c = 32 Solving 14 + 2c = 32 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 2c = 32 + -14 Combine like terms: 14 + -14 = 0 0 + 2c = 32 + -14 2c = 32 + -14 Combine like terms: 32 + -14 = 18 2c = 18 Divide each side by '2'. c = 9 Simplifying c = 9
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