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Simplifying -1k + -6 + 7k + 20 = -2 Reorder the terms: -6 + 20 + -1k + 7k = -2 Combine like terms: -6 + 20 = 14 14 + -1k + 7k = -2 Combine like terms: -1k + 7k = 6k 14 + 6k = -2 Solving 14 + 6k = -2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 6k = -2 + -14 Combine like terms: 14 + -14 = 0 0 + 6k = -2 + -14 6k = -2 + -14 Combine like terms: -2 + -14 = -16 6k = -16 Divide each side by '6'. k = -2.666666667 Simplifying k = -2.666666667
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