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Simplifying x(a + -2b) + y(2b + -1a) = 0 (a * x + -2b * x) + y(2b + -1a) = 0 (ax + -2bx) + y(2b + -1a) = 0 Reorder the terms: ax + -2bx + y(-1a + 2b) = 0 ax + -2bx + (-1a * y + 2b * y) = 0 ax + -2bx + (-1ay + 2by) = 0 Reorder the terms: ax + -1ay + -2bx + 2by = 0 Solving ax + -1ay + -2bx + 2by = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2bx' to each side of the equation. ax + -1ay + -2bx + 2bx + 2by = 0 + 2bx Combine like terms: -2bx + 2bx = 0 ax + -1ay + 0 + 2by = 0 + 2bx ax + -1ay + 2by = 0 + 2bx Remove the zero: ax + -1ay + 2by = 2bx Add '-2by' to each side of the equation. ax + -1ay + 2by + -2by = 2bx + -2by Combine like terms: 2by + -2by = 0 ax + -1ay + 0 = 2bx + -2by ax + -1ay = 2bx + -2by Reorder the terms: ax + -1ay + -2bx + 2by = 2bx + -2bx + -2by + 2by Combine like terms: 2bx + -2bx = 0 ax + -1ay + -2bx + 2by = 0 + -2by + 2by ax + -1ay + -2bx + 2by = -2by + 2by Combine like terms: -2by + 2by = 0 ax + -1ay + -2bx + 2by = 0 The solution to this equation could not be determined.
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