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Simplifying 2p(x + -1y) + -3q(y + -1x) = 0 (x * 2p + -1y * 2p) + -3q(y + -1x) = 0 (2px + -2py) + -3q(y + -1x) = 0 Reorder the terms: 2px + -2py + -3q(-1x + y) = 0 2px + -2py + (-1x * -3q + y * -3q) = 0 2px + -2py + (3qx + -3qy) = 0 Solving 2px + -2py + 3qx + -3qy = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3qx' to each side of the equation. 2px + -2py + 3qx + -3qx + -3qy = 0 + -3qx Combine like terms: 3qx + -3qx = 0 2px + -2py + 0 + -3qy = 0 + -3qx 2px + -2py + -3qy = 0 + -3qx Remove the zero: 2px + -2py + -3qy = -3qx Add '3qy' to each side of the equation. 2px + -2py + -3qy + 3qy = -3qx + 3qy Combine like terms: -3qy + 3qy = 0 2px + -2py + 0 = -3qx + 3qy 2px + -2py = -3qx + 3qy Reorder the terms: 2px + -2py + 3qx + -3qy = -3qx + 3qx + 3qy + -3qy Combine like terms: -3qx + 3qx = 0 2px + -2py + 3qx + -3qy = 0 + 3qy + -3qy 2px + -2py + 3qx + -3qy = 3qy + -3qy Combine like terms: 3qy + -3qy = 0 2px + -2py + 3qx + -3qy = 0 The solution to this equation could not be determined.
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