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Simplifying 2k + 4 + -8k + -1 = 0 Reorder the terms: 4 + -1 + 2k + -8k = 0 Combine like terms: 4 + -1 = 3 3 + 2k + -8k = 0 Combine like terms: 2k + -8k = -6k 3 + -6k = 0 Solving 3 + -6k = 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 + -6k = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -6k = 0 + -3 -6k = 0 + -3 Combine like terms: 0 + -3 = -3 -6k = -3 Divide each side by '-6'. k = 0.5 Simplifying k = 0.5
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