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Simplifying K + 3(k + 2) + 14 = 2(k + 5) + 10 Reorder the terms: K + 3(2 + k) + 14 = 2(k + 5) + 10 K + (2 * 3 + k * 3) + 14 = 2(k + 5) + 10 K + (6 + 3k) + 14 = 2(k + 5) + 10 Reorder the terms: 6 + 14 + K + 3k = 2(k + 5) + 10 Combine like terms: 6 + 14 = 20 20 + K + 3k = 2(k + 5) + 10 Reorder the terms: 20 + K + 3k = 2(5 + k) + 10 20 + K + 3k = (5 * 2 + k * 2) + 10 20 + K + 3k = (10 + 2k) + 10 Reorder the terms: 20 + K + 3k = 10 + 10 + 2k Combine like terms: 10 + 10 = 20 20 + K + 3k = 20 + 2k Add '-20' to each side of the equation. 20 + K + -20 + 3k = 20 + -20 + 2k Reorder the terms: 20 + -20 + K + 3k = 20 + -20 + 2k Combine like terms: 20 + -20 = 0 0 + K + 3k = 20 + -20 + 2k K + 3k = 20 + -20 + 2k Combine like terms: 20 + -20 = 0 K + 3k = 0 + 2k K + 3k = 2k Solving K + 3k = 2k 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. K + 3k + -3k = 2k + -3k Combine like terms: 3k + -3k = 0 K + 0 = 2k + -3k K = 2k + -3k Combine like terms: 2k + -3k = -1k K = -1k Simplifying K = -1k
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