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Apply Gaussian Elimination to Systems Without Unique Solutions
Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists.
- \[\begin{array} { l }
x - y + z - w = 10 \\
\quad - 2 x + 3 y + 5 w = - 28 \\
x + 2 y + 8 z + 3 w = - 10 \\
x - 4 y - 6 z - 5 w = 30 \\
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