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Simplifying (2k + 1)(6) = 0 Reorder the terms: (1 + 2k)(6) = 0 Reorder the terms for easier multiplication: 6(1 + 2k) = 0 (1 * 6 + 2k * 6) = 0 (6 + 12k) = 0 Solving 6 + 12k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 12k = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 12k = 0 + -6 12k = 0 + -6 Combine like terms: 0 + -6 = -6 12k = -6 Divide each side by '12'. k = -0.5 Simplifying k = -0.5
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