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Simplifying (3a + 2) + (5a + 3) = 0 Reorder the terms: (2 + 3a) + (5a + 3) = 0 Remove parenthesis around (2 + 3a) 2 + 3a + (5a + 3) = 0 Reorder the terms: 2 + 3a + (3 + 5a) = 0 Remove parenthesis around (3 + 5a) 2 + 3a + 3 + 5a = 0 Reorder the terms: 2 + 3 + 3a + 5a = 0 Combine like terms: 2 + 3 = 5 5 + 3a + 5a = 0 Combine like terms: 3a + 5a = 8a 5 + 8a = 0 Solving 5 + 8a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 8a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 8a = 0 + -5 8a = 0 + -5 Combine like terms: 0 + -5 = -5 8a = -5 Divide each side by '8'. a = -0.625 Simplifying a = -0.625
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