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Simplifying 3(5k + 2) + -22k + 9 + 5 = 0 Reorder the terms: 3(2 + 5k) + -22k + 9 + 5 = 0 (2 * 3 + 5k * 3) + -22k + 9 + 5 = 0 (6 + 15k) + -22k + 9 + 5 = 0 Reorder the terms: 6 + 9 + 5 + 15k + -22k = 0 Combine like terms: 6 + 9 = 15 15 + 5 + 15k + -22k = 0 Combine like terms: 15 + 5 = 20 20 + 15k + -22k = 0 Combine like terms: 15k + -22k = -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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