Let's simplify the given expression step by step:

Expression:  
\[
3k + 7 - 2 + 2k - k
\]

### Step 1: Combine the like terms involving \( k \):
\[
(3k + 2k - k) = 4k
\]

### Step 2: Combine the constant terms:
\[
(7 - 2) = 5
\]

### Final expression:
\[
4k + 5
\]

So, the simplified expression is:
\[
4k + 5
\]

Would you like more details or have any questions?

Here are 5 related questions for further practice:
1. Simplify \( 5k + 3 - 4k + 6 \).
2. Simplify \( 8k + 2 + 3k - 10 \).
3. What is the value of \( 4k + 5 \) when \( k = 2 \)?
4. Solve for \( k \) if \( 4k + 5 = 17 \).
5. Factor the expression \( 4k + 5 \), if possible.

**Tip:** Always group and simplify like terms (variables and constants) separately in expressions.

Learn how to simplify the algebraic expression 3k + 7 − 2 + 2k − k. This problem demonstrates how to combine like terms and constants in an expression. A step-by-step solution is provided, suitable for students in Grades 6-8.

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