A 214b denial is for that specific application. If circumstances have changed, or there is additional information that could possibly help you, you can reapply, and according to https://travel.state.gov/content/visas/en/general/denials.html your previous 214b denial will not be a factor in considering the new visa application; it is not a permanent ineligibility.
While frustrating, you are still in a far better situation than if your visa denial were for something like fraud or illegal activity or anything that could lead to a *permanent* inelgibility. (I recall years back on another immigration board a convicted arsonist was very offended that he was getting denied based on his criminal record!)
The reason really does matter!
However, if you go into this worrying about how to hide your past, you risk acting suspicious, which could result in another denial.