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Simplifying 0.1k + 0.4 = 0.64 Reorder the terms: 0.4 + 0.1k = 0.64 Solving 0.4 + 0.1k = 0.64 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.4' to each side of the equation. 0.4 + -0.4 + 0.1k = 0.64 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.1k = 0.64 + -0.4 0.1k = 0.64 + -0.4 Combine like terms: 0.64 + -0.4 = 0.24 0.1k = 0.24 Divide each side by '0.1'. k = 2.4 Simplifying k = 2.4
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