To solve for \( s \) in the equation
\[ \frac{11}{s + 3} + 4 = 5, \]
start by isolating the fraction. Subtract 4 from both sides:
\[ \frac{11}{s + 3} = 5 - 4, \]
which simplifies to
\[ \frac{11}{s + 3} = 1. \]
Next, to eliminate the fraction, multiply both sides by \( s + 3 \):
\[ 11 = 1 \cdot (s + 3). \]
This simplifies to:
\[ 11 = s + 3. \]
Now, solve for \( s \) by subtracting 3 from both sides:
\[ s = 11 - 3, \]
which results in
\[ s = 8. \]
Thus, the solution is:
\[ s = 8. \]
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