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Simplifying 6(6k + 7) + -7k = 0 Reorder the terms: 6(7 + 6k) + -7k = 0 (7 * 6 + 6k * 6) + -7k = 0 (42 + 36k) + -7k = 0 Combine like terms: 36k + -7k = 29k 42 + 29k = 0 Solving 42 + 29k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 29k = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 29k = 0 + -42 29k = 0 + -42 Combine like terms: 0 + -42 = -42 29k = -42 Divide each side by '29'. k = -1.448275862 Simplifying k = -1.448275862
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