7078 + (8,001 - 2,893) Show the work and keep it simple

Sure! Let's break it down step-by-step:

1. **Calculate the expression in the parentheses:**
   \[
   8,001 - 2,893
   \]

   To do this subtraction:
   \[
   8,001 - 2,893 = 5,108
   \]

2. **Now, add this result to 7078:**
   \[
   7078 + 5,108
   \]

   To perform this addition:
   \[
   7078 + 5,108 = 12,186
   \]

Therefore, the final answer is:
\[
\boxed{12,186}
\]