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Simplifying 2(3 + -2a) + 3(1 + 4a) = 0 (3 * 2 + -2a * 2) + 3(1 + 4a) = 0 (6 + -4a) + 3(1 + 4a) = 0 6 + -4a + (1 * 3 + 4a * 3) = 0 6 + -4a + (3 + 12a) = 0 Reorder the terms: 6 + 3 + -4a + 12a = 0 Combine like terms: 6 + 3 = 9 9 + -4a + 12a = 0 Combine like terms: -4a + 12a = 8a 9 + 8a = 0 Solving 9 + 8a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 8a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 8a = 0 + -9 8a = 0 + -9 Combine like terms: 0 + -9 = -9 8a = -9 Divide each side by '8'. a = -1.125 Simplifying a = -1.125
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