|b+5|=11

To solve the equation \( |b + 5| = 11 \), we need to consider the two cases for the absolute value.

Case 1:
\( b + 5 = 11 \)
Subtracting 5 from both sides, we get:
\[ b = 11 - 5 \]
\[ b = 6 \]

Case 2:
\( b + 5 = -11 \)
Subtracting 5 from both sides, we get:
\[ b = -11 - 5 \]
\[ b = -16 \]

Thus, the solutions are: \[ b = 6 \] and \[ b = -16 \]