Please can someone help me out of my misery.

My question is how can I solve this equation:

2CE e-3at u(t)-u(t-2t)

I have replaced t with t= [(t-2T)+2T]

now I have q(t) = 2CE e-3a[(t-2T)+2T] u[(t-2T)+2T]-u(t-2T)

so I have crossed out the delay of 2T = e-2Ts

so I am left with q(t) = 2CE e-3a(t+2T) u(t+2T)-u(t)

I am now lost and have no idea what to do next.

Please can someone put me out of my misery.