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