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Simplifying 12k + -1[2k + (-3 + 7k)] = 0 Remove parenthesis around (-3 + 7k) 12k + -1[2k + -3 + 7k] = 0 Reorder the terms: 12k + -1[-3 + 2k + 7k] = 0 Combine like terms: 2k + 7k = 9k 12k + -1[-3 + 9k] = 0 12k + [-3 * -1 + 9k * -1] = 0 12k + [3 + -9k] = 0 Reorder the terms: 3 + 12k + -9k = 0 Combine like terms: 12k + -9k = 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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