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Simplifying 9k + -1[2k + (-2 + 5k)] = 0 Remove parenthesis around (-2 + 5k) 9k + -1[2k + -2 + 5k] = 0 Reorder the terms: 9k + -1[-2 + 2k + 5k] = 0 Combine like terms: 2k + 5k = 7k 9k + -1[-2 + 7k] = 0 9k + [-2 * -1 + 7k * -1] = 0 9k + [2 + -7k] = 0 Reorder the terms: 2 + 9k + -7k = 0 Combine like terms: 9k + -7k = 2k 2 + 2k = 0 Solving 2 + 2k = 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 + 2k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2k = 0 + -2 2k = 0 + -2 Combine like terms: 0 + -2 = -2 2k = -2 Divide each side by '2'. k = -1 Simplifying k = -1
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