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Simplifying a + b + 2a + b + 3a + -4b = 0 Reorder the terms: a + 2a + 3a + b + b + -4b = 0 Combine like terms: a + 2a = 3a 3a + 3a + b + b + -4b = 0 Combine like terms: 3a + 3a = 6a 6a + b + b + -4b = 0 Combine like terms: b + b = 2b 6a + 2b + -4b = 0 Combine like terms: 2b + -4b = -2b 6a + -2b = 0 Solving 6a + -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. 6a + -2b + 2b = 0 + 2b Combine like terms: -2b + 2b = 0 6a + 0 = 0 + 2b 6a = 0 + 2b Remove the zero: 6a = 2b Divide each side by '6'. a = 0.3333333333b Simplifying a = 0.3333333333b
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