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Simplifying 3x(2a + -1b) + -2y(2a + -1b) = 0 (2a * 3x + -1b * 3x) + -2y(2a + -1b) = 0 (6ax + -3bx) + -2y(2a + -1b) = 0 6ax + -3bx + (2a * -2y + -1b * -2y) = 0 6ax + -3bx + (-4ay + 2by) = 0 Reorder the terms: 6ax + -4ay + -3bx + 2by = 0 Solving 6ax + -4ay + -3bx + 2by = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3bx' to each side of the equation. 6ax + -4ay + -3bx + 3bx + 2by = 0 + 3bx Combine like terms: -3bx + 3bx = 0 6ax + -4ay + 0 + 2by = 0 + 3bx 6ax + -4ay + 2by = 0 + 3bx Remove the zero: 6ax + -4ay + 2by = 3bx Add '-2by' to each side of the equation. 6ax + -4ay + 2by + -2by = 3bx + -2by Combine like terms: 2by + -2by = 0 6ax + -4ay + 0 = 3bx + -2by 6ax + -4ay = 3bx + -2by Reorder the terms: 6ax + -4ay + -3bx + 2by = 3bx + -3bx + -2by + 2by Combine like terms: 3bx + -3bx = 0 6ax + -4ay + -3bx + 2by = 0 + -2by + 2by 6ax + -4ay + -3bx + 2by = -2by + 2by Combine like terms: -2by + 2by = 0 6ax + -4ay + -3bx + 2by = 0 The solution to this equation could not be determined.
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