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Simplifying 8k + -1[2k + (-3 + 5k)] = 0 Remove parenthesis around (-3 + 5k) 8k + -1[2k + -3 + 5k] = 0 Reorder the terms: 8k + -1[-3 + 2k + 5k] = 0 Combine like terms: 2k + 5k = 7k 8k + -1[-3 + 7k] = 0 8k + [-3 * -1 + 7k * -1] = 0 8k + [3 + -7k] = 0 Reorder the terms: 3 + 8k + -7k = 0 Combine like terms: 8k + -7k = 1k 3 + 1k = 0 Solving 3 + 1k = 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 + 1k = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 1k = 0 + -3 1k = 0 + -3 Combine like terms: 0 + -3 = -3 1k = -3 Divide each side by '1'. k = -3 Simplifying k = -3
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