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Simplifying 9k + -1[3k + (-4 + 4k)] = 0 Remove parenthesis around (-4 + 4k) 9k + -1[3k + -4 + 4k] = 0 Reorder the terms: 9k + -1[-4 + 3k + 4k] = 0 Combine like terms: 3k + 4k = 7k 9k + -1[-4 + 7k] = 0 9k + [-4 * -1 + 7k * -1] = 0 9k + [4 + -7k] = 0 Reorder the terms: 4 + 9k + -7k = 0 Combine like terms: 9k + -7k = 2k 4 + 2k = 0 Solving 4 + 2k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 2k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 2k = 0 + -4 2k = 0 + -4 Combine like terms: 0 + -4 = -4 2k = -4 Divide each side by '2'. k = -2 Simplifying k = -2
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