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Simplifying 11k + -1[3k + (-2 + 7k)] = 0 Remove parenthesis around (-2 + 7k) 11k + -1[3k + -2 + 7k] = 0 Reorder the terms: 11k + -1[-2 + 3k + 7k] = 0 Combine like terms: 3k + 7k = 10k 11k + -1[-2 + 10k] = 0 11k + [-2 * -1 + 10k * -1] = 0 11k + [2 + -10k] = 0 Reorder the terms: 2 + 11k + -10k = 0 Combine like terms: 11k + -10k = 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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