https://file.aiquickdraw.com/mathbot/file/1726725766001zoxmgb7r.jpg

The equation extracted from the image is:

\[
-3k + 4 = -2 - 6k
\]

Let's solve this step by step:

1. **Move all terms involving \( k \) to one side**:
   \[
   -3k + 6k = -2 - 4
   \]
   Simplifying:
   \[
   3k = -6
   \]

2. **Solve for \( k \)**:
   \[
   k = \frac{-6}{3} = -2
   \]

The solution is \( k = -2 \).

Would you like more details or have any questions?

Here are five related questions:
1. How do you solve similar equations with variables on both sides?
2. What happens when there is no solution to an equation like this?
3. How do you solve equations with fractions or decimals?
4. What if the variable appears in the denominator of a fraction?
5. How can you check your solution after solving an equation?

**Tip**: Always move variables to one side first to simplify equations.

Learn how to solve the linear equation -3k + 4 = -2 - 6k with a detailed step-by-step solution. This problem focuses on moving variables to one side and solving for k. Suitable for students in Grades 7-9.

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