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Simplifying 0.08a + 0.09(a + 200) = 69 Reorder the terms: 0.08a + 0.09(200 + a) = 69 0.08a + (200 * 0.09 + a * 0.09) = 69 0.08a + (18 + 0.09a) = 69 Reorder the terms: 18 + 0.08a + 0.09a = 69 Combine like terms: 0.08a + 0.09a = 0.17a 18 + 0.17a = 69 Solving 18 + 0.17a = 69 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 + 0.17a = 69 + -18 Combine like terms: 18 + -18 = 0 0 + 0.17a = 69 + -18 0.17a = 69 + -18 Combine like terms: 69 + -18 = 51 0.17a = 51 Divide each side by '0.17'. a = 300 Simplifying a = 300
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