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Simplifying K + k + K + 4(2k + 6) + 5k = 0 Reorder the terms: K + k + K + 4(6 + 2k) + 5k = 0 K + k + K + (6 * 4 + 2k * 4) + 5k = 0 K + k + K + (24 + 8k) + 5k = 0 Reorder the terms: 24 + K + K + k + 8k + 5k = 0 Combine like terms: K + K = 2K 24 + 2K + k + 8k + 5k = 0 Combine like terms: k + 8k = 9k 24 + 2K + 9k + 5k = 0 Combine like terms: 9k + 5k = 14k 24 + 2K + 14k = 0 Solving 24 + 2K + 14k = 0 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + 2K + -24 + 14k = 0 + -24 Reorder the terms: 24 + -24 + 2K + 14k = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 2K + 14k = 0 + -24 2K + 14k = 0 + -24 Combine like terms: 0 + -24 = -24 2K + 14k = -24 Add '-14k' to each side of the equation. 2K + 14k + -14k = -24 + -14k Combine like terms: 14k + -14k = 0 2K + 0 = -24 + -14k 2K = -24 + -14k Divide each side by '2'. K = -12 + -7k Simplifying K = -12 + -7k
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