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Simplifying 12a + b + -4a + -3b = 0 Reorder the terms: 12a + -4a + b + -3b = 0 Combine like terms: 12a + -4a = 8a 8a + b + -3b = 0 Combine like terms: b + -3b = -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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