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Simplifying a + 2b + 5a + 7b = 0 Reorder the terms: a + 5a + 2b + 7b = 0 Combine like terms: a + 5a = 6a 6a + 2b + 7b = 0 Combine like terms: 2b + 7b = 9b 6a + 9b = 0 Solving 6a + 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. 6a + 9b + -9b = 0 + -9b Combine like terms: 9b + -9b = 0 6a + 0 = 0 + -9b 6a = 0 + -9b Remove the zero: 6a = -9b Divide each side by '6'. a = -1.5b Simplifying a = -1.5b
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