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Simplifying 12k + -1[k + (-2 + 6k)] = 0 Remove parenthesis around (-2 + 6k) 12k + -1[k + -2 + 6k] = 0 Reorder the terms: 12k + -1[-2 + k + 6k] = 0 Combine like terms: k + 6k = 7k 12k + -1[-2 + 7k] = 0 12k + [-2 * -1 + 7k * -1] = 0 12k + [2 + -7k] = 0 Reorder the terms: 2 + 12k + -7k = 0 Combine like terms: 12k + -7k = 5k 2 + 5k = 0 Solving 2 + 5k = 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 + 5k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5k = 0 + -2 5k = 0 + -2 Combine like terms: 0 + -2 = -2 5k = -2 Divide each side by '5'. k = -0.4 Simplifying k = -0.4
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