https://file.aiquickdraw.com/mathbot/file/17267982988861gtmskrp.jpg

The equation presented in the image is:

\[
20 + 7k = 8(k + 2)
\]

The steps involve solving this linear equation. Let's break it down:

### Step 1: Distribute the 8 on the right side
\[
8(k + 2) = 8k + 16
\]
So, the equation becomes:
\[
20 + 7k = 8k + 16
\]

### Step 2: Move all terms with \( k \) to one side
Subtract \( 7k \) from both sides:
\[
20 = k + 16
\]

### Step 3: Solve for \( k \)
Subtract 16 from both sides:
\[
20 - 16 = k
\]
\[
k = 4
\]

Thus, the value of \( k \) is \( 4 \).

Would you like further details on any part of the solution, or do you have any other questions?

Here are 5 related questions to explore:
1. How do you solve linear equations with variables on both sides?
2. How does the distributive property work in algebra?
3. Can you explain how to check if the solution to a linear equation is correct?
4. What are some common mistakes when solving linear equations?
5. How do you solve multi-step equations involving fractions?

**Tip:** Always simplify both sides of the equation before moving terms to isolate the variable.

This problem demonstrates solving a linear equation step by step: distribute, combine like terms, and isolate the variable to find the solution. Ideal for students in Grades 7-9.

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