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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:
\[
s = 8.
\]