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Simplifying (9k + k) + (6k + 3) * 2 = 0 Combine like terms: 9k + k = 10k (10k) + (6k + 3) * 2 = 0 (10k) + (6k + 3) * 2 = 0 Reorder the terms: (10k) + (3 + 6k) * 2 = 0 Reorder the terms for easier multiplication: (10k) + 2(3 + 6k) = 0 (10k) + (3 * 2 + 6k * 2) = 0 (10k) + (6 + 12k) = 0 Reorder the terms: 6 + (10k) + 12k = 0 Combine like terms: (10k) + 12k = 22k 6 + 22k = 0 Solving 6 + 22k = 0 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 + 22k = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 22k = 0 + -6 22k = 0 + -6 Combine like terms: 0 + -6 = -6 22k = -6 Divide each side by '22'. k = -0.2727272727 Simplifying k = -0.2727272727
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