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Simplifying 6a + 9b + -1a + 12b + 2a = 0 Reorder the terms: 6a + -1a + 2a + 9b + 12b = 0 Combine like terms: 6a + -1a = 5a 5a + 2a + 9b + 12b = 0 Combine like terms: 5a + 2a = 7a 7a + 9b + 12b = 0 Combine like terms: 9b + 12b = 21b 7a + 21b = 0 Solving 7a + 21b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21b' to each side of the equation. 7a + 21b + -21b = 0 + -21b Combine like terms: 21b + -21b = 0 7a + 0 = 0 + -21b 7a = 0 + -21b Remove the zero: 7a = -21b Divide each side by '7'. a = -3b Simplifying a = -3b
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