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Simplifying 3(4k + 2) + -19k + 4 + 2 = 0 Reorder the terms: 3(2 + 4k) + -19k + 4 + 2 = 0 (2 * 3 + 4k * 3) + -19k + 4 + 2 = 0 (6 + 12k) + -19k + 4 + 2 = 0 Reorder the terms: 6 + 4 + 2 + 12k + -19k = 0 Combine like terms: 6 + 4 = 10 10 + 2 + 12k + -19k = 0 Combine like terms: 10 + 2 = 12 12 + 12k + -19k = 0 Combine like terms: 12k + -19k = -7k 12 + -7k = 0 Solving 12 + -7k = 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 + -7k = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -7k = 0 + -12 -7k = 0 + -12 Combine like terms: 0 + -12 = -12 -7k = -12 Divide each side by '-7'. k = 1.714285714 Simplifying k = 1.714285714
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