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Simplifying 3(1 + -1K) = 2(5K + 1) + 8K (1 * 3 + -1K * 3) = 2(5K + 1) + 8K (3 + -3K) = 2(5K + 1) + 8K Reorder the terms: 3 + -3K = 2(1 + 5K) + 8K 3 + -3K = (1 * 2 + 5K * 2) + 8K 3 + -3K = (2 + 10K) + 8K Combine like terms: 10K + 8K = 18K 3 + -3K = 2 + 18K Solving 3 + -3K = 2 + 18K Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-18K' to each side of the equation. 3 + -3K + -18K = 2 + 18K + -18K Combine like terms: -3K + -18K = -21K 3 + -21K = 2 + 18K + -18K Combine like terms: 18K + -18K = 0 3 + -21K = 2 + 0 3 + -21K = 2 Add '-3' to each side of the equation. 3 + -3 + -21K = 2 + -3 Combine like terms: 3 + -3 = 0 0 + -21K = 2 + -3 -21K = 2 + -3 Combine like terms: 2 + -3 = -1 -21K = -1 Divide each side by '-21'. K = 0.04761904762 Simplifying K = 0.04761904762
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