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Simplifying ax + -1bx + -1cx + -1ay + dy + -1ey = 0 Reorder the terms: ax + -1ay + -1bx + -1cx + dy + -1ey = 0 Solving ax + -1ay + -1bx + -1cx + dy + -1ey = 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. ax + -1ay + -1bx + -1cx + dy + bx + -1ey = 0 + bx Reorder the terms: ax + -1ay + -1bx + bx + -1cx + dy + -1ey = 0 + bx Combine like terms: -1bx + bx = 0 ax + -1ay + 0 + -1cx + dy + -1ey = 0 + bx ax + -1ay + -1cx + dy + -1ey = 0 + bx Remove the zero: ax + -1ay + -1cx + dy + -1ey = bx Add 'cx' to each side of the equation. ax + -1ay + -1cx + dy + cx + -1ey = bx + cx Reorder the terms: ax + -1ay + -1cx + cx + dy + -1ey = bx + cx Combine like terms: -1cx + cx = 0 ax + -1ay + 0 + dy + -1ey = bx + cx ax + -1ay + dy + -1ey = bx + cx Add '-1dy' to each side of the equation. ax + -1ay + dy + -1dy + -1ey = bx + cx + -1dy Combine like terms: dy + -1dy = 0 ax + -1ay + 0 + -1ey = bx + cx + -1dy ax + -1ay + -1ey = bx + cx + -1dy Add 'ey' to each side of the equation. ax + -1ay + -1ey + ey = bx + cx + -1dy + ey Combine like terms: -1ey + ey = 0 ax + -1ay + 0 = bx + cx + -1dy + ey ax + -1ay = bx + cx + -1dy + ey Reorder the terms: ax + -1ay + -1bx + -1cx + dy + -1ey = bx + -1bx + cx + -1cx + -1dy + dy + ey + -1ey Combine like terms: bx + -1bx = 0 ax + -1ay + -1bx + -1cx + dy + -1ey = 0 + cx + -1cx + -1dy + dy + ey + -1ey ax + -1ay + -1bx + -1cx + dy + -1ey = cx + -1cx + -1dy + dy + ey + -1ey Combine like terms: cx + -1cx = 0 ax + -1ay + -1bx + -1cx + dy + -1ey = 0 + -1dy + dy + ey + -1ey ax + -1ay + -1bx + -1cx + dy + -1ey = -1dy + dy + ey + -1ey Combine like terms: -1dy + dy = 0 ax + -1ay + -1bx + -1cx + dy + -1ey = 0 + ey + -1ey ax + -1ay + -1bx + -1cx + dy + -1ey = ey + -1ey Combine like terms: ey + -1ey = 0 ax + -1ay + -1bx + -1cx + dy + -1ey = 0 The solution to this equation could not be determined.
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