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