Answer
$(CH_3)_2N_2H_2 + 2N_2O_4 --> 3N_2 + 4H_2O + 2CO_2$
Work Step by Step
Recall that the number of each element must be equal on both sides of a chemical equation. Therefore, using guess and check, multiply compounds/atoms on each side of the equation by different numbers until the number of atoms on both sides of the equation is equal.