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Simplifying 2(5k + 4) + -17k + 9 + 5 = 0 Reorder the terms: 2(4 + 5k) + -17k + 9 + 5 = 0 (4 * 2 + 5k * 2) + -17k + 9 + 5 = 0 (8 + 10k) + -17k + 9 + 5 = 0 Reorder the terms: 8 + 9 + 5 + 10k + -17k = 0 Combine like terms: 8 + 9 = 17 17 + 5 + 10k + -17k = 0 Combine like terms: 17 + 5 = 22 22 + 10k + -17k = 0 Combine like terms: 10k + -17k = -7k 22 + -7k = 0 Solving 22 + -7k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -7k = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -7k = 0 + -22 -7k = 0 + -22 Combine like terms: 0 + -22 = -22 -7k = -22 Divide each side by '-7'. k = 3.142857143 Simplifying k = 3.142857143
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