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Simplifying 12k + -1[2k + (-2 + 3k)] = 0 Remove parenthesis around (-2 + 3k) 12k + -1[2k + -2 + 3k] = 0 Reorder the terms: 12k + -1[-2 + 2k + 3k] = 0 Combine like terms: 2k + 3k = 5k 12k + -1[-2 + 5k] = 0 12k + [-2 * -1 + 5k * -1] = 0 12k + [2 + -5k] = 0 Reorder the terms: 2 + 12k + -5k = 0 Combine like terms: 12k + -5k = 7k 2 + 7k = 0 Solving 2 + 7k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 7k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7k = 0 + -2 7k = 0 + -2 Combine like terms: 0 + -2 = -2 7k = -2 Divide each side by '7'. k = -0.2857142857 Simplifying k = -0.2857142857
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