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Simplifying 9(a + b) + (3a + 2b) = 0 (a * 9 + b * 9) + (3a + 2b) = 0 (9a + 9b) + (3a + 2b) = 0 Remove parenthesis around (3a + 2b) 9a + 9b + 3a + 2b = 0 Reorder the terms: 9a + 3a + 9b + 2b = 0 Combine like terms: 9a + 3a = 12a 12a + 9b + 2b = 0 Combine like terms: 9b + 2b = 11b 12a + 11b = 0 Solving 12a + 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. 12a + 11b + -11b = 0 + -11b Combine like terms: 11b + -11b = 0 12a + 0 = 0 + -11b 12a = 0 + -11b Remove the zero: 12a = -11b Divide each side by '12'. a = -0.9166666667b Simplifying a = -0.9166666667b
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