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Simplifying 12k + -1[4k + (-4 + 2k)] = 0 Remove parenthesis around (-4 + 2k) 12k + -1[4k + -4 + 2k] = 0 Reorder the terms: 12k + -1[-4 + 4k + 2k] = 0 Combine like terms: 4k + 2k = 6k 12k + -1[-4 + 6k] = 0 12k + [-4 * -1 + 6k * -1] = 0 12k + [4 + -6k] = 0 Reorder the terms: 4 + 12k + -6k = 0 Combine like terms: 12k + -6k = 6k 4 + 6k = 0 Solving 4 + 6k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 6k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 6k = 0 + -4 6k = 0 + -4 Combine like terms: 0 + -4 = -4 6k = -4 Divide each side by '6'. k = -0.6666666667 Simplifying k = -0.6666666667
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