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Simplifying 0.5 + 6k = 0.2k + 0.11 Reorder the terms: 0.5 + 6k = 0.11 + 0.2k Solving 0.5 + 6k = 0.11 + 0.2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.2k' to each side of the equation. 0.5 + 6k + -0.2k = 0.11 + 0.2k + -0.2k Combine like terms: 6k + -0.2k = 5.8k 0.5 + 5.8k = 0.11 + 0.2k + -0.2k Combine like terms: 0.2k + -0.2k = 0.0 0.5 + 5.8k = 0.11 + 0.0 0.5 + 5.8k = 0.11 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 5.8k = 0.11 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 5.8k = 0.11 + -0.5 5.8k = 0.11 + -0.5 Combine like terms: 0.11 + -0.5 = -0.39 5.8k = -0.39 Divide each side by '5.8'. k = -0.06724137931 Simplifying k = -0.06724137931
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