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Simplifying -1k + 6 + 7k + 20 = -2 Reorder the terms: 6 + 20 + -1k + 7k = -2 Combine like terms: 6 + 20 = 26 26 + -1k + 7k = -2 Combine like terms: -1k + 7k = 6k 26 + 6k = -2 Solving 26 + 6k = -2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 6k = -2 + -26 Combine like terms: 26 + -26 = 0 0 + 6k = -2 + -26 6k = -2 + -26 Combine like terms: -2 + -26 = -28 6k = -28 Divide each side by '6'. k = -4.666666667 Simplifying k = -4.666666667
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