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Simplifying K + 4K + -4K + -1k + k + 1 = 8 Reorder the terms: 1 + K + 4K + -4K + -1k + k = 8 Combine like terms: K + 4K = 5K 1 + 5K + -4K + -1k + k = 8 Combine like terms: 5K + -4K = 1K 1 + 1K + -1k + k = 8 Combine like terms: -1k + k = 0 1 + 1K + 0 = 8 1 + 1K = 8 Solving 1 + 1K = 8 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 1K = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 1K = 8 + -1 1K = 8 + -1 Combine like terms: 8 + -1 = 7 1K = 7 Divide each side by '1'. K = 7 Simplifying K = 7
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