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Simplifying 5[2K + 1] = 3[K + 4] Reorder the terms: 5[1 + 2K] = 3[K + 4] [1 * 5 + 2K * 5] = 3[K + 4] [5 + 10K] = 3[K + 4] Reorder the terms: 5 + 10K = 3[4 + K] 5 + 10K = [4 * 3 + K * 3] 5 + 10K = [12 + 3K] Solving 5 + 10K = 12 + 3K Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-3K' to each side of the equation. 5 + 10K + -3K = 12 + 3K + -3K Combine like terms: 10K + -3K = 7K 5 + 7K = 12 + 3K + -3K Combine like terms: 3K + -3K = 0 5 + 7K = 12 + 0 5 + 7K = 12 Add '-5' to each side of the equation. 5 + -5 + 7K = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 7K = 12 + -5 7K = 12 + -5 Combine like terms: 12 + -5 = 7 7K = 7 Divide each side by '7'. K = 1 Simplifying K = 1
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