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Simplifying 2k = 4(k + 3) + -9k Reorder the terms: 2k = 4(3 + k) + -9k 2k = (3 * 4 + k * 4) + -9k 2k = (12 + 4k) + -9k Combine like terms: 4k + -9k = -5k 2k = 12 + -5k Solving 2k = 12 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. 2k + 5k = 12 + -5k + 5k Combine like terms: 2k + 5k = 7k 7k = 12 + -5k + 5k Combine like terms: -5k + 5k = 0 7k = 12 + 0 7k = 12 Divide each side by '7'. k = 1.714285714 Simplifying k = 1.714285714
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