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Simplifying 3(7k + 4) + 9k = 0 Reorder the terms: 3(4 + 7k) + 9k = 0 (4 * 3 + 7k * 3) + 9k = 0 (12 + 21k) + 9k = 0 Combine like terms: 21k + 9k = 30k 12 + 30k = 0 Solving 12 + 30k = 0 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 + 30k = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 30k = 0 + -12 30k = 0 + -12 Combine like terms: 0 + -12 = -12 30k = -12 Divide each side by '30'. k = -0.4 Simplifying k = -0.4
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