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Simplifying 3(2a + 4) + 2(4 + -2a) = 0 Reorder the terms: 3(4 + 2a) + 2(4 + -2a) = 0 (4 * 3 + 2a * 3) + 2(4 + -2a) = 0 (12 + 6a) + 2(4 + -2a) = 0 12 + 6a + (4 * 2 + -2a * 2) = 0 12 + 6a + (8 + -4a) = 0 Reorder the terms: 12 + 8 + 6a + -4a = 0 Combine like terms: 12 + 8 = 20 20 + 6a + -4a = 0 Combine like terms: 6a + -4a = 2a 20 + 2a = 0 Solving 20 + 2a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 2a = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 2a = 0 + -20 2a = 0 + -20 Combine like terms: 0 + -20 = -20 2a = -20 Divide each side by '2'. a = -10 Simplifying a = -10
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