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Simplifying 5k + -1[2k + (-5 + 2k)] = 0 Remove parenthesis around (-5 + 2k) 5k + -1[2k + -5 + 2k] = 0 Reorder the terms: 5k + -1[-5 + 2k + 2k] = 0 Combine like terms: 2k + 2k = 4k 5k + -1[-5 + 4k] = 0 5k + [-5 * -1 + 4k * -1] = 0 5k + [5 + -4k] = 0 Reorder the terms: 5 + 5k + -4k = 0 Combine like terms: 5k + -4k = 1k 5 + 1k = 0 Solving 5 + 1k = 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 + 1k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 1k = 0 + -5 1k = 0 + -5 Combine like terms: 0 + -5 = -5 1k = -5 Divide each side by '1'. k = -5 Simplifying k = -5
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