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Simplifying a + 3b + 4a + b = 0 Reorder the terms: a + 4a + 3b + b = 0 Combine like terms: a + 4a = 5a 5a + 3b + b = 0 Combine like terms: 3b + b = 4b 5a + 4b = 0 Solving 5a + 4b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4b' to each side of the equation. 5a + 4b + -4b = 0 + -4b Combine like terms: 4b + -4b = 0 5a + 0 = 0 + -4b 5a = 0 + -4b Remove the zero: 5a = -4b Divide each side by '5'. a = -0.8b Simplifying a = -0.8b
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