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Simplifying 1.5(k + 0.4) = 2.3 Reorder the terms: 1.5(0.4 + k) = 2.3 (0.4 * 1.5 + k * 1.5) = 2.3 (0.6 + 1.5k) = 2.3 Solving 0.6 + 1.5k = 2.3 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 + 1.5k = 2.3 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 1.5k = 2.3 + -0.6 1.5k = 2.3 + -0.6 Combine like terms: 2.3 + -0.6 = 1.7 1.5k = 1.7 Divide each side by '1.5'. k = 1.133333333 Simplifying k = 1.133333333
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