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Simplifying 4(3a + 7) + 3(2a + 5) = 0 Reorder the terms: 4(7 + 3a) + 3(2a + 5) = 0 (7 * 4 + 3a * 4) + 3(2a + 5) = 0 (28 + 12a) + 3(2a + 5) = 0 Reorder the terms: 28 + 12a + 3(5 + 2a) = 0 28 + 12a + (5 * 3 + 2a * 3) = 0 28 + 12a + (15 + 6a) = 0 Reorder the terms: 28 + 15 + 12a + 6a = 0 Combine like terms: 28 + 15 = 43 43 + 12a + 6a = 0 Combine like terms: 12a + 6a = 18a 43 + 18a = 0 Solving 43 + 18a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + 18a = 0 + -43 Combine like terms: 43 + -43 = 0 0 + 18a = 0 + -43 18a = 0 + -43 Combine like terms: 0 + -43 = -43 18a = -43 Divide each side by '18'. a = -2.388888889 Simplifying a = -2.388888889
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