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Simplifying 2(a + -1b) + 9a + 6b = 0 (a * 2 + -1b * 2) + 9a + 6b = 0 (2a + -2b) + 9a + 6b = 0 Reorder the terms: 2a + 9a + -2b + 6b = 0 Combine like terms: 2a + 9a = 11a 11a + -2b + 6b = 0 Combine like terms: -2b + 6b = 4b 11a + 4b = 0 Solving 11a + 4b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4b' to each side of the equation. 11a + 4b + -4b = 0 + -4b Combine like terms: 4b + -4b = 0 11a + 0 = 0 + -4b 11a = 0 + -4b Remove the zero: 11a = -4b Divide each side by '11'. a = -0.3636363636b Simplifying a = -0.3636363636b
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