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Simplifying 0.2(100 + a) = 50 (100 * 0.2 + a * 0.2) = 50 (20 + 0.2a) = 50 Solving 20 + 0.2a = 50 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 0.2a = 50 + -20 Combine like terms: 20 + -20 = 0 0 + 0.2a = 50 + -20 0.2a = 50 + -20 Combine like terms: 50 + -20 = 30 0.2a = 30 Divide each side by '0.2'. a = 150 Simplifying a = 150
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