Write balanced chemical equations for the following reactions:
$(i)$ $BF_3 + LiH \rightarrow$
$(ii)$ $B_2H_6 + H_2O \rightarrow$
$(iii)$ $NaH + B_2H_6 \rightarrow$
$(iv)$ $H_3BO_3 \xrightarrow{\Delta}$
$(v)$ $Al + NaOH \rightarrow$
$(vi)$ $B_2H_6 + NH_3 \rightarrow$

(N/A) $(i)$ $2BF_3 + 6LiH \rightarrow B_2H_6 + 6LiF$
$(ii)$ $B_2H_6 + 6H_2O \rightarrow 2H_3BO_3 + 6H_2$
$(iii)$ $B_2H_6 + 2NaH \xrightarrow{\text{ether}} 2NaBH_4$
$(iv)$ $4H_3BO_3$ $\xrightarrow{\Delta} 4HBO_2$ $\xrightarrow{410 \ K} H_2B_4O_7$ $\xrightarrow{\text{red hot}} 2B_2O_3$
$(v)$ $2Al + 2NaOH + 6H_2O \rightarrow 2Na[Al(OH)_4] + 3H_2$
$(vi)$ $3B_2H_6 + 6NH_3 \rightarrow 2B_3N_3H_6 + 12H_2$