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Simplifying 9(7 + 1K) + (6K + 3) * 2 = 0 (7 * 9 + 1K * 9) + (6K + 3) * 2 = 0 (63 + 9K) + (6K + 3) * 2 = 0 Reorder the terms: 63 + 9K + (3 + 6K) * 2 = 0 Reorder the terms for easier multiplication: 63 + 9K + 2(3 + 6K) = 0 63 + 9K + (3 * 2 + 6K * 2) = 0 63 + 9K + (6 + 12K) = 0 Reorder the terms: 63 + 6 + 9K + 12K = 0 Combine like terms: 63 + 6 = 69 69 + 9K + 12K = 0 Combine like terms: 9K + 12K = 21K 69 + 21K = 0 Solving 69 + 21K = 0 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-69' to each side of the equation. 69 + -69 + 21K = 0 + -69 Combine like terms: 69 + -69 = 0 0 + 21K = 0 + -69 21K = 0 + -69 Combine like terms: 0 + -69 = -69 21K = -69 Divide each side by '21'. K = -3.285714286 Simplifying K = -3.285714286
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