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Simplifying 9(a + 2) + -3(4 + -1a) = 0 Reorder the terms: 9(2 + a) + -3(4 + -1a) = 0 (2 * 9 + a * 9) + -3(4 + -1a) = 0 (18 + 9a) + -3(4 + -1a) = 0 18 + 9a + (4 * -3 + -1a * -3) = 0 18 + 9a + (-12 + 3a) = 0 Reorder the terms: 18 + -12 + 9a + 3a = 0 Combine like terms: 18 + -12 = 6 6 + 9a + 3a = 0 Combine like terms: 9a + 3a = 12a 6 + 12a = 0 Solving 6 + 12a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 12a = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 12a = 0 + -6 12a = 0 + -6 Combine like terms: 0 + -6 = -6 12a = -6 Divide each side by '12'. a = -0.5 Simplifying a = -0.5
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