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Simplifying 0 = 2(k + 4) + 7k Reorder the terms: 0 = 2(4 + k) + 7k 0 = (4 * 2 + k * 2) + 7k 0 = (8 + 2k) + 7k Combine like terms: 2k + 7k = 9k 0 = 8 + 9k Solving 0 = 8 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. 0 + -9k = 8 + 9k + -9k Remove the zero: -9k = 8 + 9k + -9k Combine like terms: 9k + -9k = 0 -9k = 8 + 0 -9k = 8 Divide each side by '-9'. k = -0.8888888889 Simplifying k = -0.8888888889
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