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Simplifying 11k + -1[4k + (-4 + 6k)] = 0 Remove parenthesis around (-4 + 6k) 11k + -1[4k + -4 + 6k] = 0 Reorder the terms: 11k + -1[-4 + 4k + 6k] = 0 Combine like terms: 4k + 6k = 10k 11k + -1[-4 + 10k] = 0 11k + [-4 * -1 + 10k * -1] = 0 11k + [4 + -10k] = 0 Reorder the terms: 4 + 11k + -10k = 0 Combine like terms: 11k + -10k = 1k 4 + 1k = 0 Solving 4 + 1k = 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 + 1k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 1k = 0 + -4 1k = 0 + -4 Combine like terms: 0 + -4 = -4 1k = -4 Divide each side by '1'. k = -4 Simplifying k = -4
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