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Simplifying 8K + -4 + 3k = 7k + k + 14 Reorder the terms: -4 + 8K + 3k = 7k + k + 14 Reorder the terms: -4 + 8K + 3k = 14 + 7k + k Combine like terms: 7k + k = 8k -4 + 8K + 3k = 14 + 8k Solving -4 + 8K + 3k = 14 + 8k Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 8K + 4 + 3k = 14 + 4 + 8k Reorder the terms: -4 + 4 + 8K + 3k = 14 + 4 + 8k Combine like terms: -4 + 4 = 0 0 + 8K + 3k = 14 + 4 + 8k 8K + 3k = 14 + 4 + 8k Combine like terms: 14 + 4 = 18 8K + 3k = 18 + 8k Add '-3k' to each side of the equation. 8K + 3k + -3k = 18 + 8k + -3k Combine like terms: 3k + -3k = 0 8K + 0 = 18 + 8k + -3k 8K = 18 + 8k + -3k Combine like terms: 8k + -3k = 5k 8K = 18 + 5k Divide each side by '8'. K = 2.25 + 0.625k Simplifying K = 2.25 + 0.625k
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