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Simplifying 0.09a + 0.12(100 + -1a) = 10.8 0.09a + (100 * 0.12 + -1a * 0.12) = 10.8 0.09a + (12 + -0.12a) = 10.8 Reorder the terms: 12 + 0.09a + -0.12a = 10.8 Combine like terms: 0.09a + -0.12a = -0.03a 12 + -0.03a = 10.8 Solving 12 + -0.03a = 10.8 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -0.03a = 10.8 + -12 Combine like terms: 12 + -12 = 0 0 + -0.03a = 10.8 + -12 -0.03a = 10.8 + -12 Combine like terms: 10.8 + -12 = -1.2 -0.03a = -1.2 Divide each side by '-0.03'. a = 40 Simplifying a = 40
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