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Simplifying 12a + 19b + 12a + -9b = 0 Reorder the terms: 12a + 12a + 19b + -9b = 0 Combine like terms: 12a + 12a = 24a 24a + 19b + -9b = 0 Combine like terms: 19b + -9b = 10b 24a + 10b = 0 Solving 24a + 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. 24a + 10b + -10b = 0 + -10b Combine like terms: 10b + -10b = 0 24a + 0 = 0 + -10b 24a = 0 + -10b Remove the zero: 24a = -10b Divide each side by '24'. a = -0.4166666667b Simplifying a = -0.4166666667b
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