Question

question
which expression is equivalent to $k - 8k - 6k$?
answer
$\circ$ $1 - 14k$ $\circ$ $k - 14$
$\circ$ $-13k$ $\circ$ $-15k$

Explanation:

Step1: Combine like terms

The expression is \( k - 8k - 6k \). First, consider the coefficients of \( k \). The coefficient of the first \( k \) is \( 1 \) (since \( k = 1k \)), the coefficient of \( -8k \) is \( -8 \), and the coefficient of \( -6k \) is \( -6 \).
To combine like terms, we add the coefficients: \( 1 - 8 - 6 \).

Step2: Calculate the sum of coefficients

Calculate \( 1 - 8 - 6 \). First, \( 1 - 8 = -7 \), then \( -7 - 6 = -13 \).
So, combining the like terms in \( k - 8k - 6k \) gives \( -13k \).

Answer:

\(-13k\) (the option corresponding to \(-13k\))