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Simplifying (C + 2)(4 + 6) = 40 Reorder the terms: (2 + C)(4 + 6) = 40 Combine like terms: 4 + 6 = 10 (2 + C)(10) = 40 Reorder the terms for easier multiplication: 10(2 + C) = 40 (2 * 10 + C * 10) = 40 (20 + 10C) = 40 Solving 20 + 10C = 40 Solving for variable 'C'. Move all terms containing C to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 10C = 40 + -20 Combine like terms: 20 + -20 = 0 0 + 10C = 40 + -20 10C = 40 + -20 Combine like terms: 40 + -20 = 20 10C = 20 Divide each side by '10'. C = 2 Simplifying C = 2
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