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Simplifying 6a + 2b + 3a + 7b = 0 Reorder the terms: 6a + 3a + 2b + 7b = 0 Combine like terms: 6a + 3a = 9a 9a + 2b + 7b = 0 Combine like terms: 2b + 7b = 9b 9a + 9b = 0 Solving 9a + 9b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9b' to each side of the equation. 9a + 9b + -9b = 0 + -9b Combine like terms: 9b + -9b = 0 9a + 0 = 0 + -9b 9a = 0 + -9b Remove the zero: 9a = -9b Divide each side by '9'. a = -1b Simplifying a = -1b
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