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Simplifying k + 6k + -5k + -14 + 8 = 22 Reorder the terms: -14 + 8 + k + 6k + -5k = 22 Combine like terms: -14 + 8 = -6 -6 + k + 6k + -5k = 22 Combine like terms: k + 6k = 7k -6 + 7k + -5k = 22 Combine like terms: 7k + -5k = 2k -6 + 2k = 22 Solving -6 + 2k = 22 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 2k = 22 + 6 Combine like terms: -6 + 6 = 0 0 + 2k = 22 + 6 2k = 22 + 6 Combine like terms: 22 + 6 = 28 2k = 28 Divide each side by '2'. k = 14 Simplifying k = 14
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