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Simplifying (2k + 1) * 2 = 0 Reorder the terms: (1 + 2k) * 2 = 0 Reorder the terms for easier multiplication: 2(1 + 2k) = 0 (1 * 2 + 2k * 2) = 0 (2 + 4k) = 0 Solving 2 + 4k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 4k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 4k = 0 + -2 4k = 0 + -2 Combine like terms: 0 + -2 = -2 4k = -2 Divide each side by '4'. k = -0.5 Simplifying k = -0.5
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