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Simplifying 0.10a + 0.60(200 + -1a) = 0.50(200) 0.10a + (200 * 0.60 + -1a * 0.60) = 0.50(200) 0.10a + (120 + -0.6a) = 0.50(200) Reorder the terms: 120 + 0.10a + -0.6a = 0.50(200) Combine like terms: 0.10a + -0.6a = -0.5a 120 + -0.5a = 0.50(200) Multiply 0.50 * 200 120 + -0.5a = 100 Solving 120 + -0.5a = 100 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-120' to each side of the equation. 120 + -120 + -0.5a = 100 + -120 Combine like terms: 120 + -120 = 0 0 + -0.5a = 100 + -120 -0.5a = 100 + -120 Combine like terms: 100 + -120 = -20 -0.5a = -20 Divide each side by '-0.5'. a = 40 Simplifying a = 40
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