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Simplifying 3a + -4b + 9a + -6b + 12a = 0 Reorder the terms: 3a + 9a + 12a + -4b + -6b = 0 Combine like terms: 3a + 9a = 12a 12a + 12a + -4b + -6b = 0 Combine like terms: 12a + 12a = 24a 24a + -4b + -6b = 0 Combine like terms: -4b + -6b = -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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