To further reinforce the skill of solving basic absolute value equations, evaluate the equations $|x| = 11$, $|y| = -5$, and $|z| = 0$. Starting with $|x| = 11$, the equation splits into the two distinct equivalent statements $x = -11$ or $x = 11$. Next, the equation $|y| = -5$ explicitly equals a negative value; because absolute value intrinsically measures a non-negative distance, this equation has no valid solution. Finally, for $|z| = 0$, because the distance from zero is strictly zero, the only mathematical solution is $z = 0$.