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Simplifying 2(2k + 5) + -11k + 8 + 2 = 0 Reorder the terms: 2(5 + 2k) + -11k + 8 + 2 = 0 (5 * 2 + 2k * 2) + -11k + 8 + 2 = 0 (10 + 4k) + -11k + 8 + 2 = 0 Reorder the terms: 10 + 8 + 2 + 4k + -11k = 0 Combine like terms: 10 + 8 = 18 18 + 2 + 4k + -11k = 0 Combine like terms: 18 + 2 = 20 20 + 4k + -11k = 0 Combine like terms: 4k + -11k = -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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