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Simplifying 5(a + 2) + 3(a + 4) = 0 Reorder the terms: 5(2 + a) + 3(a + 4) = 0 (2 * 5 + a * 5) + 3(a + 4) = 0 (10 + 5a) + 3(a + 4) = 0 Reorder the terms: 10 + 5a + 3(4 + a) = 0 10 + 5a + (4 * 3 + a * 3) = 0 10 + 5a + (12 + 3a) = 0 Reorder the terms: 10 + 12 + 5a + 3a = 0 Combine like terms: 10 + 12 = 22 22 + 5a + 3a = 0 Combine like terms: 5a + 3a = 8a 22 + 8a = 0 Solving 22 + 8a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 8a = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 8a = 0 + -22 8a = 0 + -22 Combine like terms: 0 + -22 = -22 8a = -22 Divide each side by '8'. a = -2.75 Simplifying a = -2.75
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