\[\frac{3 + z}{8} = \frac{6}{11}\]
\[3 + z = \frac{6 \cdot 8}{11}\]
\[z = \frac{48}{11} - 3^{\backslash 11} = \frac{48 - 33}{11} = \frac{15}{11}\]
\[z = 1\frac{4}{11}.\]