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Simplifying ax + ay + -1az + -1x + -1y + z = 0 Solving ax + ay + -1az + -1x + -1y + z = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'x' to each side of the equation. ax + ay + -1az + -1x + -1y + x + z = 0 + x Reorder the terms: ax + ay + -1az + -1x + x + -1y + z = 0 + x Combine like terms: -1x + x = 0 ax + ay + -1az + 0 + -1y + z = 0 + x ax + ay + -1az + -1y + z = 0 + x Remove the zero: ax + ay + -1az + -1y + z = x Add 'y' to each side of the equation. ax + ay + -1az + -1y + y + z = x + y Combine like terms: -1y + y = 0 ax + ay + -1az + 0 + z = x + y ax + ay + -1az + z = x + y Add '-1z' to each side of the equation. ax + ay + -1az + z + -1z = x + y + -1z Combine like terms: z + -1z = 0 ax + ay + -1az + 0 = x + y + -1z ax + ay + -1az = x + y + -1z Reorder the terms: ax + ay + -1az + -1x + -1y + z = x + -1x + y + -1y + -1z + z Combine like terms: x + -1x = 0 ax + ay + -1az + -1x + -1y + z = 0 + y + -1y + -1z + z ax + ay + -1az + -1x + -1y + z = y + -1y + -1z + z Combine like terms: y + -1y = 0 ax + ay + -1az + -1x + -1y + z = 0 + -1z + z ax + ay + -1az + -1x + -1y + z = -1z + z Combine like terms: -1z + z = 0 ax + ay + -1az + -1x + -1y + z = 0 The solution to this equation could not be determined.
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