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Simplifying [2k + -1] + 3 = -8 Reorder the terms: [-1 + 2k] + 3 = -8 Remove brackets around [-1 + 2k] -1 + 2k + 3 = -8 Reorder the terms: -1 + 3 + 2k = -8 Combine like terms: -1 + 3 = 2 2 + 2k = -8 Solving 2 + 2k = -8 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 + 2k = -8 + -2 Combine like terms: 2 + -2 = 0 0 + 2k = -8 + -2 2k = -8 + -2 Combine like terms: -8 + -2 = -10 2k = -10 Divide each side by '2'. k = -5 Simplifying k = -5
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