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Simplifying (2 + -1a)(3 + -1b) + 2a = 0 Multiply (2 + -1a) * (3 + -1b) (2(3 + -1b) + -1a * (3 + -1b)) + 2a = 0 ((3 * 2 + -1b * 2) + -1a * (3 + -1b)) + 2a = 0 ((6 + -2b) + -1a * (3 + -1b)) + 2a = 0 (6 + -2b + (3 * -1a + -1b * -1a)) + 2a = 0 (6 + -2b + (-3a + 1ab)) + 2a = 0 Reorder the terms: (6 + -3a + 1ab + -2b) + 2a = 0 (6 + -3a + 1ab + -2b) + 2a = 0 Reorder the terms: 6 + -3a + 2a + 1ab + -2b = 0 Combine like terms: -3a + 2a = -1a 6 + -1a + 1ab + -2b = 0 Solving 6 + -1a + 1ab + -2b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -1a + 1ab + -6 + -2b = 0 + -6 Reorder the terms: 6 + -6 + -1a + 1ab + -2b = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1a + 1ab + -2b = 0 + -6 -1a + 1ab + -2b = 0 + -6 Combine like terms: 0 + -6 = -6 -1a + 1ab + -2b = -6 Add '2b' to each side of the equation. -1a + 1ab + -2b + 2b = -6 + 2b Combine like terms: -2b + 2b = 0 -1a + 1ab + 0 = -6 + 2b -1a + 1ab = -6 + 2b Reorder the terms: 6 + -1a + 1ab + -2b = -6 + 2b + 6 + -2b Reorder the terms: 6 + -1a + 1ab + -2b = -6 + 6 + 2b + -2b Combine like terms: -6 + 6 = 0 6 + -1a + 1ab + -2b = 0 + 2b + -2b 6 + -1a + 1ab + -2b = 2b + -2b Combine like terms: 2b + -2b = 0 6 + -1a + 1ab + -2b = 0 The solution to this equation could not be determined.
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