Sentence:  The break with imperialism and the liberation of Russia from the predatory war, the publication of the secret treaties and the solemn abrogation of the policy of seizing foreign soil, the proclamation of national freedom and the recognition of the independence of Finland, the declaration of Russia as a "Federation of Soviet National Republics" and the militant battle-cry of a resolute struggle against imperialism <WSD>broadcast</WSD> all over the world by the Soviet government in millions of pamphlets, newspapers, and leaflets in the mother tongues of the peoples of the East and West—all this could not fail to have its effect on the enslaved East and the bleeding West. 
Meaning of the word marked with <WSD> tags:  To transmit a message over a wide area; "specifically", to send an email in a single transmission to a (typically large) number of people.