Let's solve the equation:

\[
7k - 3k - 4k + 4k + k = 20
\]

### Step 1: Combine like terms.
Group all terms involving \(k\):

\[
(7k - 3k - 4k + 4k + k) = (7 - 3 - 4 + 4 + 1)k = 5k
\]

Now the equation becomes:

\[
5k = 20
\]

### Step 2: Solve for \(k\).

\[
k = \frac{20}{5} = 4
\]

Thus, \(k = 4\).

Would you like a detailed explanation of each step or have any questions?

### Related questions:
1. How do you solve equations with multiple variables?
2. What is the best way to check solutions to an equation?
3. Can you explain how to solve quadratic equations?
4. How would you solve a system of linear equations?
5. What are some common errors when solving algebraic equations?

**Tip**: Always combine like terms first to simplify an equation before solving it!

Learn how to solve the linear equation 7k – 3k – 4k + 4k + k = 20 with a step-by-step solution. This problem involves algebraic simplification by combining like terms, suitable for students in Grades 6-8.

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