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Simplifying -1k + 14 = 3k + -6k Reorder the terms: 14 + -1k = 3k + -6k Combine like terms: 3k + -6k = -3k 14 + -1k = -3k Solving 14 + -1k = -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. 14 + -1k + 3k = -3k + 3k Combine like terms: -1k + 3k = 2k 14 + 2k = -3k + 3k Combine like terms: -3k + 3k = 0 14 + 2k = 0 Add '-14' to each side of the equation. 14 + -14 + 2k = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 2k = 0 + -14 2k = 0 + -14 Combine like terms: 0 + -14 = -14 2k = -14 Divide each side by '2'. k = -7 Simplifying k = -7
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