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Simplifying (3K + 4) * 6 + 7(1k + 6) = 0 Reorder the terms: (4 + 3K) * 6 + 7(1k + 6) = 0 Reorder the terms for easier multiplication: 6(4 + 3K) + 7(1k + 6) = 0 (4 * 6 + 3K * 6) + 7(1k + 6) = 0 (24 + 18K) + 7(1k + 6) = 0 Reorder the terms: 24 + 18K + 7(6 + 1k) = 0 24 + 18K + (6 * 7 + 1k * 7) = 0 24 + 18K + (42 + 7k) = 0 Reorder the terms: 24 + 42 + 18K + 7k = 0 Combine like terms: 24 + 42 = 66 66 + 18K + 7k = 0 Solving 66 + 18K + 7k = 0 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-66' to each side of the equation. 66 + 18K + -66 + 7k = 0 + -66 Reorder the terms: 66 + -66 + 18K + 7k = 0 + -66 Combine like terms: 66 + -66 = 0 0 + 18K + 7k = 0 + -66 18K + 7k = 0 + -66 Combine like terms: 0 + -66 = -66 18K + 7k = -66 Add '-7k' to each side of the equation. 18K + 7k + -7k = -66 + -7k Combine like terms: 7k + -7k = 0 18K + 0 = -66 + -7k 18K = -66 + -7k Divide each side by '18'. K = -3.666666667 + -0.3888888889k Simplifying K = -3.666666667 + -0.3888888889k
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