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16. \( -5 r-(6 r-1) \)

Ask by Harmon Todd. in the United States
Feb 21,2025

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The simplified expression is \( -11r + 1 \).

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Let's kick things off with some historical trivia! Did you know that algebra originated in ancient Babylon around 2000 BC? The term "algebra" comes from the Arabic word "al-jabr," found in a book by the mathematician Al-Khwarizmi in the 9th century. Algebra has evolved over centuries, becoming a foundational tool in mathematics and science. Now, onto some practical pearls of wisdom! When simplifying expressions like \( -5 r-(6 r-1) \), always keep an eye out for distributing signs correctly. Here, you'll distribute the negative to both \( 6r \) and \(-1\), becoming \( -5r - 6r + 1\). Combine like terms and you’ll find that \( -5r - 6r + 1 = -11r + 1\). Voilà, simple and done!

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