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Simplifying 3(7a + 2) + 4(5a + 3) = 0 Reorder the terms: 3(2 + 7a) + 4(5a + 3) = 0 (2 * 3 + 7a * 3) + 4(5a + 3) = 0 (6 + 21a) + 4(5a + 3) = 0 Reorder the terms: 6 + 21a + 4(3 + 5a) = 0 6 + 21a + (3 * 4 + 5a * 4) = 0 6 + 21a + (12 + 20a) = 0 Reorder the terms: 6 + 12 + 21a + 20a = 0 Combine like terms: 6 + 12 = 18 18 + 21a + 20a = 0 Combine like terms: 21a + 20a = 41a 18 + 41a = 0 Solving 18 + 41a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 41a = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 41a = 0 + -18 41a = 0 + -18 Combine like terms: 0 + -18 = -18 41a = -18 Divide each side by '41'. a = -0.4390243902 Simplifying a = -0.4390243902
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