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Simplifying 2(a + 4) + 3(a + 2) = 0 Reorder the terms: 2(4 + a) + 3(a + 2) = 0 (4 * 2 + a * 2) + 3(a + 2) = 0 (8 + 2a) + 3(a + 2) = 0 Reorder the terms: 8 + 2a + 3(2 + a) = 0 8 + 2a + (2 * 3 + a * 3) = 0 8 + 2a + (6 + 3a) = 0 Reorder the terms: 8 + 6 + 2a + 3a = 0 Combine like terms: 8 + 6 = 14 14 + 2a + 3a = 0 Combine like terms: 2a + 3a = 5a 14 + 5a = 0 Solving 14 + 5a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 5a = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 5a = 0 + -14 5a = 0 + -14 Combine like terms: 0 + -14 = -14 5a = -14 Divide each side by '5'. a = -2.8 Simplifying a = -2.8
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