https://file.aiquickdraw.com/mathbot/file/1728768731952p2lt8cx0.jpg

The equation in the image is:

\[
6 = k + 11 - 2
\]

Let's solve for \( k \):

1. Simplify the right-hand side:
   \[
   k + 11 - 2 = k + 9
   \]
   Now the equation becomes:
   \[
   6 = k + 9
   \]

2. Subtract 9 from both sides to isolate \( k \):
   \[
   6 - 9 = k
   \]
   \[
   k = -3
   \]

The solution is \( k = -3 \).

Would you like more details or have any other questions?

Here are five related questions:
1. How can we check if \( k = -3 \) is the correct solution?
2. What happens if we add variables on both sides of an equation?
3. How do we solve equations involving fractions?
4. How can we solve quadratic equations?
5. What methods exist for solving systems of equations?

**Tip**: Always simplify equations step by step to avoid mistakes!

Learn how to solve the linear equation 6 = k + 11 - 2 step by step. This problem demonstrates the basics of algebraic manipulation and isolating variables. Suitable for students in Grades 6-8.

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