Start the broad statement with an introductory clause or phrase. The introduction can provide background information on the subject, or simply make the statement flow much easier. The main purpose of the introduction is to set focus on the main part of the broad statement. Example introductions are: "It is widely believed that," "In a variety of cases" and "generally speaking."
Replace specific information with their general terms. Instead of numerical values, use phrases such as "a few," "a couple," "several" and "a large amount." Additionally, replace the proper names of specific people, places, things and animals with their generic term. For example, replace the name of Ford, Buick, Cadillac (and other car brands) with the general terms "automobile" or "vehicle."
Finish the statement with a conclusive phrase or clause. Make sure that the statement does not contain specific data or facts that supports the broad statement. That information can be included in the sentences or paragraphs following the broad statement. For example, a broad statement can be: "It is widely believed that the climate in Mexico is warmer than that of the northern United States," or "A large amount of cats have long hair."