To solve the inequality \( h + 7 \leq 8 + 15 \), we first simplify the right side:
\[ 8 + 15 = 23 \]
Now the inequality becomes:
\[ h + 7 \leq 23 \]
Next, we isolate \( h \) by subtracting 7 from both sides:
\[ h \leq 23 - 7 \]
\[ h \leq 16 \]
The solution to the inequality is:
\[ h \leq 16 \]