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Simplifying 2(4a + 3) + 3(5a + 4) = 0 Reorder the terms: 2(3 + 4a) + 3(5a + 4) = 0 (3 * 2 + 4a * 2) + 3(5a + 4) = 0 (6 + 8a) + 3(5a + 4) = 0 Reorder the terms: 6 + 8a + 3(4 + 5a) = 0 6 + 8a + (4 * 3 + 5a * 3) = 0 6 + 8a + (12 + 15a) = 0 Reorder the terms: 6 + 12 + 8a + 15a = 0 Combine like terms: 6 + 12 = 18 18 + 8a + 15a = 0 Combine like terms: 8a + 15a = 23a 18 + 23a = 0 Solving 18 + 23a = 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 + 23a = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 23a = 0 + -18 23a = 0 + -18 Combine like terms: 0 + -18 = -18 23a = -18 Divide each side by '23'. a = -0.7826086957 Simplifying a = -0.7826086957
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