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