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Rewrite in simplest terms: \( 10(-b+3 b-5)-8 b \)

Ask by Gough Bryant. in the United States
Feb 20,2025

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The expression simplifies to \( 12b - 50 \).

Solución

First, simplify inside the parentheses:   –b + 3b – 5 = 2b – 5 Next, distribute 10:   10(2b – 5) = 20b – 50 Finally, combine like terms with –8b:   20b – 8b – 50 = 12b – 50 Therefore, the expression simplifies to 12b – 50.

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The Deep Dive

First, let's start by simplifying the expression step-by-step. 1. Distribute \( 10 \) across the terms inside the parentheses: \( 10 \times -b + 10 \times 3b + 10 \times -5 = -10b + 30b - 50 \). 2. Now, combine the like terms: \( -10b + 30b = 20b \). 3. So, we have \( 20b - 50 - 8b \). 4. Finally, combine \( 20b \) and \( -8b \): \( 20b - 8b = 12b \). Putting it all together, the simplified expression is: **\( 12b - 50 \)**.

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