Solve the System of Linear Equations $$\left\{ \begin{aligned}x + y + z & = - 6 \\x - 6 y - 7 z & = 76 \\8 y - 6 z & = - 18\end{aligned} \right.$$

Multiple Choice

Solve the system of linear equations.
$$\left\{ \begin{aligned}x + y + z & = - 6 \\x - 6 y - 7 z & = 76 \\8 y - 6 z & = - 18\end{aligned} \right.$$

A) $( 4 , - 7 , - 3 )$
B) $( - 7,4 , - 3 )$
C) $( 5 , - 6 , - 5 )$
D) $( - 6,5 , - 5 )$
E) $( 8 , - 8 , - 6 )$