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Simplifying 6(2k + 3) + -5k = 0 Reorder the terms: 6(3 + 2k) + -5k = 0 (3 * 6 + 2k * 6) + -5k = 0 (18 + 12k) + -5k = 0 Combine like terms: 12k + -5k = 7k 18 + 7k = 0 Solving 18 + 7k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 7k = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 7k = 0 + -18 7k = 0 + -18 Combine like terms: 0 + -18 = -18 7k = -18 Divide each side by '7'. k = -2.571428571 Simplifying k = -2.571428571
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