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Simplifying 0.2 + -1k = 0.5 + -4k Solving 0.2 + -1k = 0.5 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 0.2 + -1k + 4k = 0.5 + -4k + 4k Combine like terms: -1k + 4k = 3k 0.2 + 3k = 0.5 + -4k + 4k Combine like terms: -4k + 4k = 0 0.2 + 3k = 0.5 + 0 0.2 + 3k = 0.5 Add '-0.2' to each side of the equation. 0.2 + -0.2 + 3k = 0.5 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 3k = 0.5 + -0.2 3k = 0.5 + -0.2 Combine like terms: 0.5 + -0.2 = 0.3 3k = 0.3 Divide each side by '3'. k = 0.1 Simplifying k = 0.1
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