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Simplifying -9(4K + -6) = -30 + 3k Reorder the terms: -9(-6 + 4K) = -30 + 3k (-6 * -9 + 4K * -9) = -30 + 3k (54 + -36K) = -30 + 3k Solving 54 + -36K = -30 + 3k Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + -36K = -30 + -54 + 3k Combine like terms: 54 + -54 = 0 0 + -36K = -30 + -54 + 3k -36K = -30 + -54 + 3k Combine like terms: -30 + -54 = -84 -36K = -84 + 3k Divide each side by '-36'. K = 2.333333333 + -0.08333333333k Simplifying K = 2.333333333 + -0.08333333333k
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