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Simplifying 12k + -1[3k + (-5 + 4k)] = 0 Remove parenthesis around (-5 + 4k) 12k + -1[3k + -5 + 4k] = 0 Reorder the terms: 12k + -1[-5 + 3k + 4k] = 0 Combine like terms: 3k + 4k = 7k 12k + -1[-5 + 7k] = 0 12k + [-5 * -1 + 7k * -1] = 0 12k + [5 + -7k] = 0 Reorder the terms: 5 + 12k + -7k = 0 Combine like terms: 12k + -7k = 5k 5 + 5k = 0 Solving 5 + 5k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 5k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 5k = 0 + -5 5k = 0 + -5 Combine like terms: 0 + -5 = -5 5k = -5 Divide each side by '5'. k = -1 Simplifying k = -1
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