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Simplifying 9k + -1[2k + (-1 + 6k)] = 0 Remove parenthesis around (-1 + 6k) 9k + -1[2k + -1 + 6k] = 0 Reorder the terms: 9k + -1[-1 + 2k + 6k] = 0 Combine like terms: 2k + 6k = 8k 9k + -1[-1 + 8k] = 0 9k + [-1 * -1 + 8k * -1] = 0 9k + [1 + -8k] = 0 Reorder the terms: 1 + 9k + -8k = 0 Combine like terms: 9k + -8k = 1k 1 + 1k = 0 Solving 1 + 1k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 1k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1k = 0 + -1 1k = 0 + -1 Combine like terms: 0 + -1 = -1 1k = -1 Divide each side by '1'. k = -1 Simplifying k = -1
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