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Simplifying 0.08a + 0.11(a + 4000) = 1770 Reorder the terms: 0.08a + 0.11(4000 + a) = 1770 0.08a + (4000 * 0.11 + a * 0.11) = 1770 0.08a + (440 + 0.11a) = 1770 Reorder the terms: 440 + 0.08a + 0.11a = 1770 Combine like terms: 0.08a + 0.11a = 0.19a 440 + 0.19a = 1770 Solving 440 + 0.19a = 1770 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-440' to each side of the equation. 440 + -440 + 0.19a = 1770 + -440 Combine like terms: 440 + -440 = 0 0 + 0.19a = 1770 + -440 0.19a = 1770 + -440 Combine like terms: 1770 + -440 = 1330 0.19a = 1330 Divide each side by '0.19'. a = 7000 Simplifying a = 7000
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