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Simplifying 4(9a + 3(7a + 5)) = 0 Reorder the terms: 4(9a + 3(5 + 7a)) = 0 4(9a + (5 * 3 + 7a * 3)) = 0 4(9a + (15 + 21a)) = 0 Reorder the terms: 4(15 + 9a + 21a) = 0 Combine like terms: 9a + 21a = 30a 4(15 + 30a) = 0 (15 * 4 + 30a * 4) = 0 (60 + 120a) = 0 Solving 60 + 120a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 120a = 0 + -60 Combine like terms: 60 + -60 = 0 0 + 120a = 0 + -60 120a = 0 + -60 Combine like terms: 0 + -60 = -60 120a = -60 Divide each side by '120'. a = -0.5 Simplifying a = -0.5
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