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Simplifying 6k + -1[k + (-2 + 4k)] = 0 Remove parenthesis around (-2 + 4k) 6k + -1[k + -2 + 4k] = 0 Reorder the terms: 6k + -1[-2 + k + 4k] = 0 Combine like terms: k + 4k = 5k 6k + -1[-2 + 5k] = 0 6k + [-2 * -1 + 5k * -1] = 0 6k + [2 + -5k] = 0 Reorder the terms: 2 + 6k + -5k = 0 Combine like terms: 6k + -5k = 1k 2 + 1k = 0 Solving 2 + 1k = 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 + 1k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 1k = 0 + -2 1k = 0 + -2 Combine like terms: 0 + -2 = -2 1k = -2 Divide each side by '1'. k = -2 Simplifying k = -2
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