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Simplifying 8k + -1[2k + (-2 + 2k)] = 0 Remove parenthesis around (-2 + 2k) 8k + -1[2k + -2 + 2k] = 0 Reorder the terms: 8k + -1[-2 + 2k + 2k] = 0 Combine like terms: 2k + 2k = 4k 8k + -1[-2 + 4k] = 0 8k + [-2 * -1 + 4k * -1] = 0 8k + [2 + -4k] = 0 Reorder the terms: 2 + 8k + -4k = 0 Combine like terms: 8k + -4k = 4k 2 + 4k = 0 Solving 2 + 4k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 4k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 4k = 0 + -2 4k = 0 + -2 Combine like terms: 0 + -2 = -2 4k = -2 Divide each side by '4'. k = -0.5 Simplifying k = -0.5
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