For the reaction, 2NO₂(g) $\rightleftharpoons$ N₂O₄(g), when $\Delta$S = $-$176.0 JK^$-$1 and $\Delta$H = $-$57.8 kJ mol^$-$1, the magnitude of $\Delta$G at 298 K for the reaction is ___________ kJ mol^$-$1. (Nearest integer)