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Simplifying 0.4A + 0.25(1 + -1A) = 0.32 0.4A + (1 * 0.25 + -1A * 0.25) = 0.32 0.4A + (0.25 + -0.25A) = 0.32 Reorder the terms: 0.25 + 0.4A + -0.25A = 0.32 Combine like terms: 0.4A + -0.25A = 0.15A 0.25 + 0.15A = 0.32 Solving 0.25 + 0.15A = 0.32 Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-0.25' to each side of the equation. 0.25 + -0.25 + 0.15A = 0.32 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + 0.15A = 0.32 + -0.25 0.15A = 0.32 + -0.25 Combine like terms: 0.32 + -0.25 = 0.07 0.15A = 0.07 Divide each side by '0.15'. A = 0.4666666667 Simplifying A = 0.4666666667
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