it's not true that every free software is open source.
Did you read this article actually?
Freedom number 2 states:
The freedom to study how the program works, and change it so it does your computing as you wish (freedom 1). Access to the source code is a precondition for this.
Did you read this article actually?
Freedom number 2 states:
Look, I don't know who asked you to keep the gate, but it's cool, we don't need you to.