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Simplifying 12k + -1[4k + (-1 + 5k)] = 0 Remove parenthesis around (-1 + 5k) 12k + -1[4k + -1 + 5k] = 0 Reorder the terms: 12k + -1[-1 + 4k + 5k] = 0 Combine like terms: 4k + 5k = 9k 12k + -1[-1 + 9k] = 0 12k + [-1 * -1 + 9k * -1] = 0 12k + [1 + -9k] = 0 Reorder the terms: 1 + 12k + -9k = 0 Combine like terms: 12k + -9k = 3k 1 + 3k = 0 Solving 1 + 3k = 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 + 3k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3k = 0 + -1 3k = 0 + -1 Combine like terms: 0 + -1 = -1 3k = -1 Divide each side by '3'. k = -0.3333333333 Simplifying k = -0.3333333333
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