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Simplifying 6a + 9b + -1a + 12b + 2 = 0 Reorder the terms: 2 + 6a + -1a + 9b + 12b = 0 Combine like terms: 6a + -1a = 5a 2 + 5a + 9b + 12b = 0 Combine like terms: 9b + 12b = 21b 2 + 5a + 21b = 0 Solving 2 + 5a + 21b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 5a + -2 + 21b = 0 + -2 Reorder the terms: 2 + -2 + 5a + 21b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5a + 21b = 0 + -2 5a + 21b = 0 + -2 Combine like terms: 0 + -2 = -2 5a + 21b = -2 Add '-21b' to each side of the equation. 5a + 21b + -21b = -2 + -21b Combine like terms: 21b + -21b = 0 5a + 0 = -2 + -21b 5a = -2 + -21b Divide each side by '5'. a = -0.4 + -4.2b Simplifying a = -0.4 + -4.2b
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