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Simplifying 9(6k + 9) + 10(7k + 7) = 0 Reorder the terms: 9(9 + 6k) + 10(7k + 7) = 0 (9 * 9 + 6k * 9) + 10(7k + 7) = 0 (81 + 54k) + 10(7k + 7) = 0 Reorder the terms: 81 + 54k + 10(7 + 7k) = 0 81 + 54k + (7 * 10 + 7k * 10) = 0 81 + 54k + (70 + 70k) = 0 Reorder the terms: 81 + 70 + 54k + 70k = 0 Combine like terms: 81 + 70 = 151 151 + 54k + 70k = 0 Combine like terms: 54k + 70k = 124k 151 + 124k = 0 Solving 151 + 124k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-151' to each side of the equation. 151 + -151 + 124k = 0 + -151 Combine like terms: 151 + -151 = 0 0 + 124k = 0 + -151 124k = 0 + -151 Combine like terms: 0 + -151 = -151 124k = -151 Divide each side by '124'. k = -1.217741935 Simplifying k = -1.217741935
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