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Simplifying 10k + -1[3k + (-5 + 5k)] = 0 Remove parenthesis around (-5 + 5k) 10k + -1[3k + -5 + 5k] = 0 Reorder the terms: 10k + -1[-5 + 3k + 5k] = 0 Combine like terms: 3k + 5k = 8k 10k + -1[-5 + 8k] = 0 10k + [-5 * -1 + 8k * -1] = 0 10k + [5 + -8k] = 0 Reorder the terms: 5 + 10k + -8k = 0 Combine like terms: 10k + -8k = 2k 5 + 2k = 0 Solving 5 + 2k = 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 + 2k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2k = 0 + -5 2k = 0 + -5 Combine like terms: 0 + -5 = -5 2k = -5 Divide each side by '2'. k = -2.5 Simplifying k = -2.5
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