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Simplifying (3a + 2) + (5a + 9) = 0 Reorder the terms: (2 + 3a) + (5a + 9) = 0 Remove parenthesis around (2 + 3a) 2 + 3a + (5a + 9) = 0 Reorder the terms: 2 + 3a + (9 + 5a) = 0 Remove parenthesis around (9 + 5a) 2 + 3a + 9 + 5a = 0 Reorder the terms: 2 + 9 + 3a + 5a = 0 Combine like terms: 2 + 9 = 11 11 + 3a + 5a = 0 Combine like terms: 3a + 5a = 8a 11 + 8a = 0 Solving 11 + 8a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 8a = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 8a = 0 + -11 8a = 0 + -11 Combine like terms: 0 + -11 = -11 8a = -11 Divide each side by '8'. a = -1.375 Simplifying a = -1.375
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