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Simplifying a + 2a + 3b + -1a + -1b = 0 Reorder the terms: a + 2a + -1a + 3b + -1b = 0 Combine like terms: a + 2a = 3a 3a + -1a + 3b + -1b = 0 Combine like terms: 3a + -1a = 2a 2a + 3b + -1b = 0 Combine like terms: 3b + -1b = 2b 2a + 2b = 0 Solving 2a + 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. 2a + 2b + -2b = 0 + -2b Combine like terms: 2b + -2b = 0 2a + 0 = 0 + -2b 2a = 0 + -2b Remove the zero: 2a = -2b Divide each side by '2'. a = -1b Simplifying a = -1b
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