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Simplifying 3(4k + 3) + -19k + 8 + 2 = 0 Reorder the terms: 3(3 + 4k) + -19k + 8 + 2 = 0 (3 * 3 + 4k * 3) + -19k + 8 + 2 = 0 (9 + 12k) + -19k + 8 + 2 = 0 Reorder the terms: 9 + 8 + 2 + 12k + -19k = 0 Combine like terms: 9 + 8 = 17 17 + 2 + 12k + -19k = 0 Combine like terms: 17 + 2 = 19 19 + 12k + -19k = 0 Combine like terms: 12k + -19k = -7k 19 + -7k = 0 Solving 19 + -7k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -7k = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -7k = 0 + -19 -7k = 0 + -19 Combine like terms: 0 + -19 = -19 -7k = -19 Divide each side by '-7'. k = 2.714285714 Simplifying k = 2.714285714
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