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Simplifying 5(3a + 4) + 3(4a + -5) = 10 Reorder the terms: 5(4 + 3a) + 3(4a + -5) = 10 (4 * 5 + 3a * 5) + 3(4a + -5) = 10 (20 + 15a) + 3(4a + -5) = 10 Reorder the terms: 20 + 15a + 3(-5 + 4a) = 10 20 + 15a + (-5 * 3 + 4a * 3) = 10 20 + 15a + (-15 + 12a) = 10 Reorder the terms: 20 + -15 + 15a + 12a = 10 Combine like terms: 20 + -15 = 5 5 + 15a + 12a = 10 Combine like terms: 15a + 12a = 27a 5 + 27a = 10 Solving 5 + 27a = 10 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 27a = 10 + -5 Combine like terms: 5 + -5 = 0 0 + 27a = 10 + -5 27a = 10 + -5 Combine like terms: 10 + -5 = 5 27a = 5 Divide each side by '27'. a = 0.1851851852 Simplifying a = 0.1851851852
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