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Simplifying 115(a + 0.065) = 75 Reorder the terms: 115(0.065 + a) = 75 (0.065 * 115 + a * 115) = 75 (7.475 + 115a) = 75 Solving 7.475 + 115a = 75 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7.475' to each side of the equation. 7.475 + -7.475 + 115a = 75 + -7.475 Combine like terms: 7.475 + -7.475 = 0.000 0.000 + 115a = 75 + -7.475 115a = 75 + -7.475 Combine like terms: 75 + -7.475 = 67.525 115a = 67.525 Divide each side by '115'. a = 0.587173913 Simplifying a = 0.587173913
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