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Simplifying 2 + 2k = 9 + 9k + -6 Reorder the terms: 2 + 2k = 9 + -6 + 9k Combine like terms: 9 + -6 = 3 2 + 2k = 3 + 9k Solving 2 + 2k = 3 + 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. 2 + 2k + -9k = 3 + 9k + -9k Combine like terms: 2k + -9k = -7k 2 + -7k = 3 + 9k + -9k Combine like terms: 9k + -9k = 0 2 + -7k = 3 + 0 2 + -7k = 3 Add '-2' to each side of the equation. 2 + -2 + -7k = 3 + -2 Combine like terms: 2 + -2 = 0 0 + -7k = 3 + -2 -7k = 3 + -2 Combine like terms: 3 + -2 = 1 -7k = 1 Divide each side by '-7'. k = -0.1428571429 Simplifying k = -0.1428571429
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