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Simplifying 3(a + 4) + 2(2a + -1) = 0 Reorder the terms: 3(4 + a) + 2(2a + -1) = 0 (4 * 3 + a * 3) + 2(2a + -1) = 0 (12 + 3a) + 2(2a + -1) = 0 Reorder the terms: 12 + 3a + 2(-1 + 2a) = 0 12 + 3a + (-1 * 2 + 2a * 2) = 0 12 + 3a + (-2 + 4a) = 0 Reorder the terms: 12 + -2 + 3a + 4a = 0 Combine like terms: 12 + -2 = 10 10 + 3a + 4a = 0 Combine like terms: 3a + 4a = 7a 10 + 7a = 0 Solving 10 + 7a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 7a = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 7a = 0 + -10 7a = 0 + -10 Combine like terms: 0 + -10 = -10 7a = -10 Divide each side by '7'. a = -1.428571429 Simplifying a = -1.428571429
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