Question

What is the value of k?



11=−3k−22−8k



Enter your answer in the box.

Answer 1

To find the value of \( k \) in the equation

\[
11 = -3k - 22 - 8k,
\]

first, combine the terms on the right side of the equation:

\[
-3k - 8k = -11k.
\]

This simplifies the equation to:

\[
11 = -11k - 22.
\]

Next, we can isolate \( k \) by first adding 22 to both sides:

\[
11 + 22 = -11k,
\]
\[
33 = -11k.
\]

Now, divide both sides by -11 to solve for \( k \):

\[
k = \frac{33}{-11} = -3.
\]

Thus, the value of \( k \) is

\[
\boxed{-3}.
\]