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Simplifying (9k + k) + (4 + 2k) * 9 = 0 Combine like terms: 9k + k = 10k (10k) + (4 + 2k) * 9 = 0 (10k) + (4 + 2k) * 9 = 0 Reorder the terms for easier multiplication: (10k) + 9(4 + 2k) = 0 (10k) + (4 * 9 + 2k * 9) = 0 (10k) + (36 + 18k) = 0 Reorder the terms: 36 + (10k) + 18k = 0 Combine like terms: (10k) + 18k = 28k 36 + 28k = 0 Solving 36 + 28k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 28k = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 28k = 0 + -36 28k = 0 + -36 Combine like terms: 0 + -36 = -36 28k = -36 Divide each side by '28'. k = -1.285714286 Simplifying k = -1.285714286
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