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Simplifying k + 6 + -4k = 14 + -8k + 7k Reorder the terms: 6 + k + -4k = 14 + -8k + 7k Combine like terms: k + -4k = -3k 6 + -3k = 14 + -8k + 7k Combine like terms: -8k + 7k = -1k 6 + -3k = 14 + -1k Solving 6 + -3k = 14 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 6 + -3k + k = 14 + -1k + k Combine like terms: -3k + k = -2k 6 + -2k = 14 + -1k + k Combine like terms: -1k + k = 0 6 + -2k = 14 + 0 6 + -2k = 14 Add '-6' to each side of the equation. 6 + -6 + -2k = 14 + -6 Combine like terms: 6 + -6 = 0 0 + -2k = 14 + -6 -2k = 14 + -6 Combine like terms: 14 + -6 = 8 -2k = 8 Divide each side by '-2'. k = -4 Simplifying k = -4
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