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Simplifying 2(k + 3) + -9k + 4 + 5 = 0 Reorder the terms: 2(3 + k) + -9k + 4 + 5 = 0 (3 * 2 + k * 2) + -9k + 4 + 5 = 0 (6 + 2k) + -9k + 4 + 5 = 0 Reorder the terms: 6 + 4 + 5 + 2k + -9k = 0 Combine like terms: 6 + 4 = 10 10 + 5 + 2k + -9k = 0 Combine like terms: 10 + 5 = 15 15 + 2k + -9k = 0 Combine like terms: 2k + -9k = -7k 15 + -7k = 0 Solving 15 + -7k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -7k = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -7k = 0 + -15 -7k = 0 + -15 Combine like terms: 0 + -15 = -15 -7k = -15 Divide each side by '-7'. k = 2.142857143 Simplifying k = 2.142857143
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