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Simplifying 4(3k + 1) + (7K + 9) = 0 Reorder the terms: 4(1 + 3k) + (7K + 9) = 0 (1 * 4 + 3k * 4) + (7K + 9) = 0 (4 + 12k) + (7K + 9) = 0 Reorder the terms: 4 + 12k + (9 + 7K) = 0 Remove parenthesis around (9 + 7K) 4 + 12k + 9 + 7K = 0 Reorder the terms: 4 + 9 + 7K + 12k = 0 Combine like terms: 4 + 9 = 13 13 + 7K + 12k = 0 Solving 13 + 7K + 12k = 0 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + 7K + -13 + 12k = 0 + -13 Reorder the terms: 13 + -13 + 7K + 12k = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 7K + 12k = 0 + -13 7K + 12k = 0 + -13 Combine like terms: 0 + -13 = -13 7K + 12k = -13 Add '-12k' to each side of the equation. 7K + 12k + -12k = -13 + -12k Combine like terms: 12k + -12k = 0 7K + 0 = -13 + -12k 7K = -13 + -12k Divide each side by '7'. K = -1.857142857 + -1.714285714k Simplifying K = -1.857142857 + -1.714285714k
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