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Simplifying 2(8 + a) + 3(4 + 4a) = 0 (8 * 2 + a * 2) + 3(4 + 4a) = 0 (16 + 2a) + 3(4 + 4a) = 0 16 + 2a + (4 * 3 + 4a * 3) = 0 16 + 2a + (12 + 12a) = 0 Reorder the terms: 16 + 12 + 2a + 12a = 0 Combine like terms: 16 + 12 = 28 28 + 2a + 12a = 0 Combine like terms: 2a + 12a = 14a 28 + 14a = 0 Solving 28 + 14a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 14a = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 14a = 0 + -28 14a = 0 + -28 Combine like terms: 0 + -28 = -28 14a = -28 Divide each side by '14'. a = -2 Simplifying a = -2
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