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Simplifying 9k + -1[4k + (-3 + 2k)] = 0 Remove parenthesis around (-3 + 2k) 9k + -1[4k + -3 + 2k] = 0 Reorder the terms: 9k + -1[-3 + 4k + 2k] = 0 Combine like terms: 4k + 2k = 6k 9k + -1[-3 + 6k] = 0 9k + [-3 * -1 + 6k * -1] = 0 9k + [3 + -6k] = 0 Reorder the terms: 3 + 9k + -6k = 0 Combine like terms: 9k + -6k = 3k 3 + 3k = 0 Solving 3 + 3k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 3k = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 3k = 0 + -3 3k = 0 + -3 Combine like terms: 0 + -3 = -3 3k = -3 Divide each side by '3'. k = -1 Simplifying k = -1
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