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Simplifying 0.05a + 0.09(a + 5000) = 1150 Reorder the terms: 0.05a + 0.09(5000 + a) = 1150 0.05a + (5000 * 0.09 + a * 0.09) = 1150 0.05a + (450 + 0.09a) = 1150 Reorder the terms: 450 + 0.05a + 0.09a = 1150 Combine like terms: 0.05a + 0.09a = 0.14a 450 + 0.14a = 1150 Solving 450 + 0.14a = 1150 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-450' to each side of the equation. 450 + -450 + 0.14a = 1150 + -450 Combine like terms: 450 + -450 = 0 0 + 0.14a = 1150 + -450 0.14a = 1150 + -450 Combine like terms: 1150 + -450 = 700 0.14a = 700 Divide each side by '0.14'. a = 5000 Simplifying a = 5000
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