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Simplifying 3K + 2(K + 3) = 31 Reorder the terms: 3K + 2(3 + K) = 31 3K + (3 * 2 + K * 2) = 31 3K + (6 + 2K) = 31 Reorder the terms: 6 + 3K + 2K = 31 Combine like terms: 3K + 2K = 5K 6 + 5K = 31 Solving 6 + 5K = 31 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5K = 31 + -6 Combine like terms: 6 + -6 = 0 0 + 5K = 31 + -6 5K = 31 + -6 Combine like terms: 31 + -6 = 25 5K = 25 Divide each side by '5'. K = 5 Simplifying K = 5
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