To solve the equation \(3b - 39 = -78\), we first isolate the term containing the variable \(b\). We do this by adding 39 to both sides of the equation:
\[
3b - 39 + 39 = -78 + 39
\]
This simplifies to:
\[
3b = -39
\]
Step 2: Solve for the Variable
Next, we solve for \(b\) by dividing both sides of the equation by 3:
\[
b = \frac{-39}{3}
\]
This simplifies to:
\[
b = -13
\]
Final Answer
The solution to the equation is \(\boxed{b = -13}\).