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Simplifying 0.05a + 0.09(a + 200) = 102 Reorder the terms: 0.05a + 0.09(200 + a) = 102 0.05a + (200 * 0.09 + a * 0.09) = 102 0.05a + (18 + 0.09a) = 102 Reorder the terms: 18 + 0.05a + 0.09a = 102 Combine like terms: 0.05a + 0.09a = 0.14a 18 + 0.14a = 102 Solving 18 + 0.14a = 102 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 0.14a = 102 + -18 Combine like terms: 18 + -18 = 0 0 + 0.14a = 102 + -18 0.14a = 102 + -18 Combine like terms: 102 + -18 = 84 0.14a = 84 Divide each side by '0.14'. a = 600 Simplifying a = 600
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