How to join two queries?

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PHP

I have two table in my database namely clubs and club_members.

table 'club' contains 'club_id' and 'club_name', this table contains each club id and club name
Like this:

club_id       club_name
-----------------------
club1         clubName1

club2         clubName2

table 'club_members' contains 'club_id', 'user_id', this table contains user ids and club ids
Like this:

club_id        user_id
-----------------------
club1          user1

club2          user1

club1          user2

If a user search for club names, I have to display the club names which he is not joined.

I have tried this query, I don't know where I am doing mistake

select distinct t1.club_id
from clubs as t1
right join
(
    select club_id from club_members where user_id != 'user1'
)
as t2
on t1.club_id = t2.club_id;

I am expecting nothing should display for the above data in the table, but it display all club names.

Should I change the query or change my table? I am expecting not to change my tables.