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Simplifying 2(k + 3) + -9k + 6 + 4 = 0 Reorder the terms: 2(3 + k) + -9k + 6 + 4 = 0 (3 * 2 + k * 2) + -9k + 6 + 4 = 0 (6 + 2k) + -9k + 6 + 4 = 0 Reorder the terms: 6 + 6 + 4 + 2k + -9k = 0 Combine like terms: 6 + 6 = 12 12 + 4 + 2k + -9k = 0 Combine like terms: 12 + 4 = 16 16 + 2k + -9k = 0 Combine like terms: 2k + -9k = -7k 16 + -7k = 0 Solving 16 + -7k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -7k = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -7k = 0 + -16 -7k = 0 + -16 Combine like terms: 0 + -16 = -16 -7k = -16 Divide each side by '-7'. k = 2.285714286 Simplifying k = 2.285714286
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