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Simplifying k + 8 + -1k + 6 = 3k + 4 + -1k Reorder the terms: 8 + 6 + k + -1k = 3k + 4 + -1k Combine like terms: 8 + 6 = 14 14 + k + -1k = 3k + 4 + -1k Combine like terms: k + -1k = 0 14 + 0 = 3k + 4 + -1k 14 = 3k + 4 + -1k Reorder the terms: 14 = 4 + 3k + -1k Combine like terms: 3k + -1k = 2k 14 = 4 + 2k Solving 14 = 4 + 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 = 4 + 2k + -2k Combine like terms: 2k + -2k = 0 14 + -2k = 4 + 0 14 + -2k = 4 Add '-14' to each side of the equation. 14 + -14 + -2k = 4 + -14 Combine like terms: 14 + -14 = 0 0 + -2k = 4 + -14 -2k = 4 + -14 Combine like terms: 4 + -14 = -10 -2k = -10 Divide each side by '-2'. k = 5 Simplifying k = 5
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