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Simplifying 0.40a + 0.35(20 + -1a) = 7.75 0.40a + (20 * 0.35 + -1a * 0.35) = 7.75 0.40a + (7 + -0.35a) = 7.75 Reorder the terms: 7 + 0.40a + -0.35a = 7.75 Combine like terms: 0.40a + -0.35a = 0.05a 7 + 0.05a = 7.75 Solving 7 + 0.05a = 7.75 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 0.05a = 7.75 + -7 Combine like terms: 7 + -7 = 0 0 + 0.05a = 7.75 + -7 0.05a = 7.75 + -7 Combine like terms: 7.75 + -7 = 0.75 0.05a = 0.75 Divide each side by '0.05'. a = 15 Simplifying a = 15
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