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Simplifying k + 8 + -8K = 4 + -2K + -7K Reorder the terms: 8 + -8K + k = 4 + -2K + -7K Combine like terms: -2K + -7K = -9K 8 + -8K + k = 4 + -9K Solving 8 + -8K + k = 4 + -9K Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '9K' to each side of the equation. 8 + -8K + 9K + k = 4 + -9K + 9K Combine like terms: -8K + 9K = 1K 8 + 1K + k = 4 + -9K + 9K Combine like terms: -9K + 9K = 0 8 + 1K + k = 4 + 0 8 + 1K + k = 4 Add '-8' to each side of the equation. 8 + 1K + -8 + k = 4 + -8 Reorder the terms: 8 + -8 + 1K + k = 4 + -8 Combine like terms: 8 + -8 = 0 0 + 1K + k = 4 + -8 1K + k = 4 + -8 Combine like terms: 4 + -8 = -4 1K + k = -4 Add '-1k' to each side of the equation. 1K + k + -1k = -4 + -1k Combine like terms: k + -1k = 0 1K + 0 = -4 + -1k 1K = -4 + -1k Divide each side by '1'. K = -4 + -1k Simplifying K = -4 + -1k
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