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Simplifying 3k + 9k + 6 = 0 Reorder the terms: 6 + 3k + 9k = 0 Combine like terms: 3k + 9k = 12k 6 + 12k = 0 Solving 6 + 12k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 12k = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 12k = 0 + -6 12k = 0 + -6 Combine like terms: 0 + -6 = -6 12k = -6 Divide each side by '12'. k = -0.5 Simplifying k = -0.5
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