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Simplifying 2(k + 14) + 7k + -20 = 0 Reorder the terms: 2(14 + k) + 7k + -20 = 0 (14 * 2 + k * 2) + 7k + -20 = 0 (28 + 2k) + 7k + -20 = 0 Reorder the terms: 28 + -20 + 2k + 7k = 0 Combine like terms: 28 + -20 = 8 8 + 2k + 7k = 0 Combine like terms: 2k + 7k = 9k 8 + 9k = 0 Solving 8 + 9k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 9k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 9k = 0 + -8 9k = 0 + -8 Combine like terms: 0 + -8 = -8 9k = -8 Divide each side by '9'. k = -0.8888888889 Simplifying k = -0.8888888889
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