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Simplifying 3(a + 3b) + 2(a + b) = 0 (a * 3 + 3b * 3) + 2(a + b) = 0 (3a + 9b) + 2(a + b) = 0 3a + 9b + (a * 2 + b * 2) = 0 3a + 9b + (2a + 2b) = 0 Reorder the terms: 3a + 2a + 9b + 2b = 0 Combine like terms: 3a + 2a = 5a 5a + 9b + 2b = 0 Combine like terms: 9b + 2b = 11b 5a + 11b = 0 Solving 5a + 11b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11b' to each side of the equation. 5a + 11b + -11b = 0 + -11b Combine like terms: 11b + -11b = 0 5a + 0 = 0 + -11b 5a = 0 + -11b Remove the zero: 5a = -11b Divide each side by '5'. a = -2.2b Simplifying a = -2.2b
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