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Simplifying 0.4k + 0.2k + 0.3 = 0.9 Reorder the terms: 0.3 + 0.4k + 0.2k = 0.9 Combine like terms: 0.4k + 0.2k = 0.6k 0.3 + 0.6k = 0.9 Solving 0.3 + 0.6k = 0.9 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.3' to each side of the equation. 0.3 + -0.3 + 0.6k = 0.9 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 0.6k = 0.9 + -0.3 0.6k = 0.9 + -0.3 Combine like terms: 0.9 + -0.3 = 0.6 0.6k = 0.6 Divide each side by '0.6'. k = 1 Simplifying k = 1
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