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Simplifying 14 = 3k + 6 + -1k Reorder the terms: 14 = 6 + 3k + -1k Combine like terms: 3k + -1k = 2k 14 = 6 + 2k Solving 14 = 6 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 14 + -2k = 6 + 2k + -2k Combine like terms: 2k + -2k = 0 14 + -2k = 6 + 0 14 + -2k = 6 Add '-14' to each side of the equation. 14 + -14 + -2k = 6 + -14 Combine like terms: 14 + -14 = 0 0 + -2k = 6 + -14 -2k = 6 + -14 Combine like terms: 6 + -14 = -8 -2k = -8 Divide each side by '-2'. k = 4 Simplifying k = 4
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