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Simplifying 0.8k + -0.1k = 0.50k + 1 Combine like terms: 0.8k + -0.1k = 0.7k 0.7k = 0.50k + 1 Reorder the terms: 0.7k = 1 + 0.50k Solving 0.7k = 1 + 0.50k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.50k' to each side of the equation. 0.7k + -0.50k = 1 + 0.50k + -0.50k Combine like terms: 0.7k + -0.50k = 0.2k 0.2k = 1 + 0.50k + -0.50k Combine like terms: 0.50k + -0.50k = 0.00 0.2k = 1 + 0.00 0.2k = 1 Divide each side by '0.2'. k = 5 Simplifying k = 5
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