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Simplifying (5a + 7b) + (3a + 2b) = 0 Remove parenthesis around (5a + 7b) 5a + 7b + (3a + 2b) = 0 Remove parenthesis around (3a + 2b) 5a + 7b + 3a + 2b = 0 Reorder the terms: 5a + 3a + 7b + 2b = 0 Combine like terms: 5a + 3a = 8a 8a + 7b + 2b = 0 Combine like terms: 7b + 2b = 9b 8a + 9b = 0 Solving 8a + 9b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9b' to each side of the equation. 8a + 9b + -9b = 0 + -9b Combine like terms: 9b + -9b = 0 8a + 0 = 0 + -9b 8a = 0 + -9b Remove the zero: 8a = -9b Divide each side by '8'. a = -1.125b Simplifying a = -1.125b
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