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Simplifying 0.4 = k * 1.8 Reorder the terms for easier multiplication: 0.4 = 1.8k Solving 0.4 = 1.8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1.8k' to each side of the equation. 0.4 + -1.8k = 1.8k + -1.8k Combine like terms: 1.8k + -1.8k = 0.0 0.4 + -1.8k = 0.0 Add '-0.4' to each side of the equation. 0.4 + -0.4 + -1.8k = 0.0 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + -1.8k = 0.0 + -0.4 -1.8k = 0.0 + -0.4 Combine like terms: 0.0 + -0.4 = -0.4 -1.8k = -0.4 Divide each side by '-1.8'. k = 0.2222222222 Simplifying k = 0.2222222222
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