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Simplifying -2k + 4k = -9 + -2 + k + 6 Combine like terms: -2k + 4k = 2k 2k = -9 + -2 + k + 6 Reorder the terms: 2k = -9 + -2 + 6 + k Combine like terms: -9 + -2 = -11 2k = -11 + 6 + k Combine like terms: -11 + 6 = -5 2k = -5 + k Solving 2k = -5 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 2k + -1k = -5 + k + -1k Combine like terms: 2k + -1k = 1k 1k = -5 + k + -1k Combine like terms: k + -1k = 0 1k = -5 + 0 1k = -5 Divide each side by '1'. k = -5 Simplifying k = -5
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