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Simplifying 3(4k + 5) + -19k + 9 + 2 = 0 Reorder the terms: 3(5 + 4k) + -19k + 9 + 2 = 0 (5 * 3 + 4k * 3) + -19k + 9 + 2 = 0 (15 + 12k) + -19k + 9 + 2 = 0 Reorder the terms: 15 + 9 + 2 + 12k + -19k = 0 Combine like terms: 15 + 9 = 24 24 + 2 + 12k + -19k = 0 Combine like terms: 24 + 2 = 26 26 + 12k + -19k = 0 Combine like terms: 12k + -19k = -7k 26 + -7k = 0 Solving 26 + -7k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -7k = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -7k = 0 + -26 -7k = 0 + -26 Combine like terms: 0 + -26 = -26 -7k = -26 Divide each side by '-7'. k = 3.714285714 Simplifying k = 3.714285714
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