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Simplifying 11k + -1[4k + (-2 + 4k)] = 0 Remove parenthesis around (-2 + 4k) 11k + -1[4k + -2 + 4k] = 0 Reorder the terms: 11k + -1[-2 + 4k + 4k] = 0 Combine like terms: 4k + 4k = 8k 11k + -1[-2 + 8k] = 0 11k + [-2 * -1 + 8k * -1] = 0 11k + [2 + -8k] = 0 Reorder the terms: 2 + 11k + -8k = 0 Combine like terms: 11k + -8k = 3k 2 + 3k = 0 Solving 2 + 3k = 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 + 3k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3k = 0 + -2 3k = 0 + -2 Combine like terms: 0 + -2 = -2 3k = -2 Divide each side by '3'. k = -0.6666666667 Simplifying k = -0.6666666667
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