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Simplifying 0.5(a + 150) = 275 Reorder the terms: 0.5(150 + a) = 275 (150 * 0.5 + a * 0.5) = 275 (75 + 0.5a) = 275 Solving 75 + 0.5a = 275 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-75' to each side of the equation. 75 + -75 + 0.5a = 275 + -75 Combine like terms: 75 + -75 = 0 0 + 0.5a = 275 + -75 0.5a = 275 + -75 Combine like terms: 275 + -75 = 200 0.5a = 200 Divide each side by '0.5'. a = 400 Simplifying a = 400
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