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Simplifying -6 + 3k + -4K + 7 = 0 Reorder the terms: -6 + 7 + -4K + 3k = 0 Combine like terms: -6 + 7 = 1 1 + -4K + 3k = 0 Solving 1 + -4K + 3k = 0 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 + -4K + -1 + 3k = 0 + -1 Reorder the terms: 1 + -1 + -4K + 3k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4K + 3k = 0 + -1 -4K + 3k = 0 + -1 Combine like terms: 0 + -1 = -1 -4K + 3k = -1 Add '-3k' to each side of the equation. -4K + 3k + -3k = -1 + -3k Combine like terms: 3k + -3k = 0 -4K + 0 = -1 + -3k -4K = -1 + -3k Divide each side by '-4'. K = 0.25 + 0.75k Simplifying K = 0.25 + 0.75k
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