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Simplifying k + 12 + -4K + 24 = 36 Reorder the terms: 12 + 24 + -4K + k = 36 Combine like terms: 12 + 24 = 36 36 + -4K + k = 36 Add '-36' to each side of the equation. 36 + -4K + -36 + k = 36 + -36 Reorder the terms: 36 + -36 + -4K + k = 36 + -36 Combine like terms: 36 + -36 = 0 0 + -4K + k = 36 + -36 -4K + k = 36 + -36 Combine like terms: 36 + -36 = 0 -4K + k = 0 Solving -4K + k = 0 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-1k' to each side of the equation. -4K + k + -1k = 0 + -1k Combine like terms: k + -1k = 0 -4K + 0 = 0 + -1k -4K = 0 + -1k Remove the zero: -4K = -1k Divide each side by '-4'. K = 0.25k Simplifying K = 0.25k
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