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Simplifying 12a + 3b + -4a + -1b = 0 Reorder the terms: 12a + -4a + 3b + -1b = 0 Combine like terms: 12a + -4a = 8a 8a + 3b + -1b = 0 Combine like terms: 3b + -1b = 2b 8a + 2b = 0 Solving 8a + 2b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. 8a + 2b + -2b = 0 + -2b Combine like terms: 2b + -2b = 0 8a + 0 = 0 + -2b 8a = 0 + -2b Remove the zero: 8a = -2b Divide each side by '8'. a = -0.25b Simplifying a = -0.25b
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