Search for the last step of an altered Raschig process reaction mechanism
It can't be 

$$\ce{R-NH-NH-R + 2R-NHCl -&gt; R-N=N-R + 2R-NH2Cl}$$

The reason is that while the atoms are balanced, the electrons aren't. Going from $\ce{R-NH-NH-R}$ to $\ce{R-N=N-R}$ involves the loss of two protons and two electrons, but the $\ce{R-NHCl}$ are really only picking up two protons. (Nitrogens with four substituents are positively charged.)

When thinking of mechanisms, it may help to explicitly split the final listed reaction into two steps.

5a. $\ce{H-NH-NH-H + NH2Cl -&gt; H-N=N-H + NH4Cl}$

5b. $\ce{H-N=N-H + NH2Cl -&gt; N2 + NH4Cl}$

That is, each chloramine is involved in pulling one dihydrogen (two protons and two electrons) off of the diazo. - The addition of a "hydride" (a proton and two electrons) to the nitrogen kicks the chlorine off as a negatively charged ion, and the remaining proton protonates the lone pair on the nitrogen.

The analogous last step for the $\ce{R-NH2}$ case might be:

$$\ce{R-NH-NH-R + R-NHCl -&gt; R-N=N-R + R-NH3Cl}$$

This is equivalent to reducing the $\ce{N-Cl}$ covalent bond to $\ce{R-NH2 + HCl}$ followed by an acid/base reaction.