Question

simplify the expression: -6f - f + -f - 8f

Explanation:

Step1: Combine like terms

First, we identify that all terms are like terms (they all have the variable \( f \)). So we can add their coefficients. The coefficients are -6, -1, -1, and -8.
\[
-6f - f + (-f) - 8f = (-6 - 1 - 1 - 8)f
\]

Step2: Calculate the sum of coefficients

Now we calculate the sum of the coefficients: \( -6 - 1 - 1 - 8 \). Let's compute step by step: \( -6 - 1 = -7 \), then \( -7 - 1 = -8 \), then \( -8 - 8 = -16 \).
\[
(-6 - 1 - 1 - 8)f = -16f
\]

Answer:

\( -16f \)