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Simplifying 9k + -1[k + (-2 + 3k)] = 0 Remove parenthesis around (-2 + 3k) 9k + -1[k + -2 + 3k] = 0 Reorder the terms: 9k + -1[-2 + k + 3k] = 0 Combine like terms: k + 3k = 4k 9k + -1[-2 + 4k] = 0 9k + [-2 * -1 + 4k * -1] = 0 9k + [2 + -4k] = 0 Reorder the terms: 2 + 9k + -4k = 0 Combine like terms: 9k + -4k = 5k 2 + 5k = 0 Solving 2 + 5k = 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 + 5k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5k = 0 + -2 5k = 0 + -2 Combine like terms: 0 + -2 = -2 5k = -2 Divide each side by '5'. k = -0.4 Simplifying k = -0.4
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