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Simplifying 14 = 3k + 27 + -10k Reorder the terms: 14 = 27 + 3k + -10k Combine like terms: 3k + -10k = -7k 14 = 27 + -7k Solving 14 = 27 + -7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7k' to each side of the equation. 14 + 7k = 27 + -7k + 7k Combine like terms: -7k + 7k = 0 14 + 7k = 27 + 0 14 + 7k = 27 Add '-14' to each side of the equation. 14 + -14 + 7k = 27 + -14 Combine like terms: 14 + -14 = 0 0 + 7k = 27 + -14 7k = 27 + -14 Combine like terms: 27 + -14 = 13 7k = 13 Divide each side by '7'. k = 1.857142857 Simplifying k = 1.857142857
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