Question

question
rewrite in simplest terms: $-10(-5f + 7f + 2) - f$

Explanation:

Step1: Combine like terms inside the parentheses

First, combine the terms with \( f \) inside the parentheses: \( -5f + 7f = 2f \). So the expression becomes \( -10(2f + 2) - f \).

Step2: Distribute the -10

Using the distributive property \( a(b + c)=ab + ac \), we have \( -10\times2f + (-10)\times2 - f = -20f - 20 - f \).

Step3: Combine like terms

Now, combine the terms with \( f \): \( -20f - f = -21f \). So the simplified expression is \( -21f - 20 \).

Answer:

\(-21f - 20\)