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Simplifying 3(k + 3) + -10k + 9 + 2 = 0 Reorder the terms: 3(3 + k) + -10k + 9 + 2 = 0 (3 * 3 + k * 3) + -10k + 9 + 2 = 0 (9 + 3k) + -10k + 9 + 2 = 0 Reorder the terms: 9 + 9 + 2 + 3k + -10k = 0 Combine like terms: 9 + 9 = 18 18 + 2 + 3k + -10k = 0 Combine like terms: 18 + 2 = 20 20 + 3k + -10k = 0 Combine like terms: 3k + -10k = -7k 20 + -7k = 0 Solving 20 + -7k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -7k = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -7k = 0 + -20 -7k = 0 + -20 Combine like terms: 0 + -20 = -20 -7k = -20 Divide each side by '-7'. k = 2.857142857 Simplifying k = 2.857142857
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