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Simplifying 3(4a + 8) + 2(9 + -3) = 0 Reorder the terms: 3(8 + 4a) + 2(9 + -3) = 0 (8 * 3 + 4a * 3) + 2(9 + -3) = 0 (24 + 12a) + 2(9 + -3) = 0 Combine like terms: 9 + -3 = 6 24 + 12a + 2(6) = 0 Multiply 2 * 6 24 + 12a + 12 = 0 Reorder the terms: 24 + 12 + 12a = 0 Combine like terms: 24 + 12 = 36 36 + 12a = 0 Solving 36 + 12a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 12a = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 12a = 0 + -36 12a = 0 + -36 Combine like terms: 0 + -36 = -36 12a = -36 Divide each side by '12'. a = -3 Simplifying a = -3
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