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Simplifying (0.5 + a) * 0.4 = 6 Reorder the terms for easier multiplication: 0.4(0.5 + a) = 6 (0.5 * 0.4 + a * 0.4) = 6 (0.2 + 0.4a) = 6 Solving 0.2 + 0.4a = 6 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.2' to each side of the equation. 0.2 + -0.2 + 0.4a = 6 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 0.4a = 6 + -0.2 0.4a = 6 + -0.2 Combine like terms: 6 + -0.2 = 5.8 0.4a = 5.8 Divide each side by '0.4'. a = 14.5 Simplifying a = 14.5
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