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Simplifying (2 + -1k) + (-4k + 2) = 0 Remove parenthesis around (2 + -1k) 2 + -1k + (-4k + 2) = 0 Reorder the terms: 2 + -1k + (2 + -4k) = 0 Remove parenthesis around (2 + -4k) 2 + -1k + 2 + -4k = 0 Reorder the terms: 2 + 2 + -1k + -4k = 0 Combine like terms: 2 + 2 = 4 4 + -1k + -4k = 0 Combine like terms: -1k + -4k = -5k 4 + -5k = 0 Solving 4 + -5k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5k = 0 + -4 -5k = 0 + -4 Combine like terms: 0 + -4 = -4 -5k = -4 Divide each side by '-5'. k = 0.8 Simplifying k = 0.8
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