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Simplifying a + 2b + 3a + 4b = 0 Reorder the terms: a + 3a + 2b + 4b = 0 Combine like terms: a + 3a = 4a 4a + 2b + 4b = 0 Combine like terms: 2b + 4b = 6b 4a + 6b = 0 Solving 4a + 6b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6b' to each side of the equation. 4a + 6b + -6b = 0 + -6b Combine like terms: 6b + -6b = 0 4a + 0 = 0 + -6b 4a = 0 + -6b Remove the zero: 4a = -6b Divide each side by '4'. a = -1.5b Simplifying a = -1.5b
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