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Simplifying 4a + 6b + 3 + 9a + 2b = 0 Reorder the terms: 3 + 4a + 9a + 6b + 2b = 0 Combine like terms: 4a + 9a = 13a 3 + 13a + 6b + 2b = 0 Combine like terms: 6b + 2b = 8b 3 + 13a + 8b = 0 Solving 3 + 13a + 8b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 13a + -3 + 8b = 0 + -3 Reorder the terms: 3 + -3 + 13a + 8b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 13a + 8b = 0 + -3 13a + 8b = 0 + -3 Combine like terms: 0 + -3 = -3 13a + 8b = -3 Add '-8b' to each side of the equation. 13a + 8b + -8b = -3 + -8b Combine like terms: 8b + -8b = 0 13a + 0 = -3 + -8b 13a = -3 + -8b Divide each side by '13'. a = -0.2307692308 + -0.6153846154b Simplifying a = -0.2307692308 + -0.6153846154b
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