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Simplifying 12a + b + 18a + 9b = 0 Reorder the terms: 12a + 18a + b + 9b = 0 Combine like terms: 12a + 18a = 30a 30a + b + 9b = 0 Combine like terms: b + 9b = 10b 30a + 10b = 0 Solving 30a + 10b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10b' to each side of the equation. 30a + 10b + -10b = 0 + -10b Combine like terms: 10b + -10b = 0 30a + 0 = 0 + -10b 30a = 0 + -10b Remove the zero: 30a = -10b Divide each side by '30'. a = -0.3333333333b Simplifying a = -0.3333333333b
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