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Simplifying 12a + 9b + -6a + -12b = 0 Reorder the terms: 12a + -6a + 9b + -12b = 0 Combine like terms: 12a + -6a = 6a 6a + 9b + -12b = 0 Combine like terms: 9b + -12b = -3b 6a + -3b = 0 Solving 6a + -3b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3b' to each side of the equation. 6a + -3b + 3b = 0 + 3b Combine like terms: -3b + 3b = 0 6a + 0 = 0 + 3b 6a = 0 + 3b Remove the zero: 6a = 3b Divide each side by '6'. a = 0.5b Simplifying a = 0.5b
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