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Simplifying 3(4K + -1 + -3) = 12k + -1 Reorder the terms: 3(-1 + -3 + 4K) = 12k + -1 Combine like terms: -1 + -3 = -4 3(-4 + 4K) = 12k + -1 (-4 * 3 + 4K * 3) = 12k + -1 (-12 + 12K) = 12k + -1 Reorder the terms: -12 + 12K = -1 + 12k Solving -12 + 12K = -1 + 12k Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 12K = -1 + 12 + 12k Combine like terms: -12 + 12 = 0 0 + 12K = -1 + 12 + 12k 12K = -1 + 12 + 12k Combine like terms: -1 + 12 = 11 12K = 11 + 12k Divide each side by '12'. K = 0.9166666667 + k Simplifying K = 0.9166666667 + k
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