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Simplifying [2k + 1] = -10000 Reorder the terms: [1 + 2k] = -10000 Remove brackets around [1 + 2k] 1 + 2k = -10000 Solving 1 + 2k = -10000 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 = -10000 + -1 Combine like terms: 1 + -1 = 0 0 + 2k = -10000 + -1 2k = -10000 + -1 Combine like terms: -10000 + -1 = -10001 2k = -10001 Divide each side by '2'. k = -5000.5 Simplifying k = -5000.5
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