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Simplifying 1.50(k + 0.40) = 2.33333 Reorder the terms: 1.50(0.40 + k) = 2.33333 (0.40 * 1.50 + k * 1.50) = 2.33333 (0.6 + 1.50k) = 2.33333 Solving 0.6 + 1.50k = 2.33333 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.6' to each side of the equation. 0.6 + -0.6 + 1.50k = 2.33333 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 1.50k = 2.33333 + -0.6 1.50k = 2.33333 + -0.6 Combine like terms: 2.33333 + -0.6 = 1.73333 1.50k = 1.73333 Divide each side by '1.50'. k = 1.155553333 Simplifying k = 1.155553333
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