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