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Simplifying 0.11a + 0.12(a + 200) = 162 Reorder the terms: 0.11a + 0.12(200 + a) = 162 0.11a + (200 * 0.12 + a * 0.12) = 162 0.11a + (24 + 0.12a) = 162 Reorder the terms: 24 + 0.11a + 0.12a = 162 Combine like terms: 0.11a + 0.12a = 0.23a 24 + 0.23a = 162 Solving 24 + 0.23a = 162 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 0.23a = 162 + -24 Combine like terms: 24 + -24 = 0 0 + 0.23a = 162 + -24 0.23a = 162 + -24 Combine like terms: 162 + -24 = 138 0.23a = 138 Divide each side by '0.23'. a = 600 Simplifying a = 600
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