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Simplifying -4K + -9 + k = 4 + -2k + -1 Reorder the terms: -9 + -4K + k = 4 + -2k + -1 Reorder the terms: -9 + -4K + k = 4 + -1 + -2k Combine like terms: 4 + -1 = 3 -9 + -4K + k = 3 + -2k Solving -9 + -4K + k = 3 + -2k Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '9' to each side of the equation. -9 + -4K + 9 + k = 3 + 9 + -2k Reorder the terms: -9 + 9 + -4K + k = 3 + 9 + -2k Combine like terms: -9 + 9 = 0 0 + -4K + k = 3 + 9 + -2k -4K + k = 3 + 9 + -2k Combine like terms: 3 + 9 = 12 -4K + k = 12 + -2k Add '-1k' to each side of the equation. -4K + k + -1k = 12 + -2k + -1k Combine like terms: k + -1k = 0 -4K + 0 = 12 + -2k + -1k -4K = 12 + -2k + -1k Combine like terms: -2k + -1k = -3k -4K = 12 + -3k Divide each side by '-4'. K = -3 + 0.75k Simplifying K = -3 + 0.75k
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