Let's simplify the expression step by step:

\[
-2 + 2z + 13 + 29 - z
\]

### Step 1: Combine the constants
\[
-2 + 13 + 29 = 40
\]

### Step 2: Combine the terms with \( z \)
\[
2z - z = z
\]

### Step 3: Write the final simplified expression
\[
z + 40
\]

So, the simplified expression is:

\[
z + 40
\]

Would you like more details or have any other questions?

Here are 5 related questions you might find interesting:
1. What happens if the value of \( z \) is a negative number?
2. How do you solve an equation like \( z + 40 = 0 \)?
3. What is the result if we substitute \( z = 5 \) into the simplified expression?
4. How would the expression change if we started with \( 2z \) and \( -3z \) instead of \( 2z \) and \( -z \)?
5. Can this expression be factored further?

**Tip:** Always look for like terms (constants with constants and variables with variables) when simplifying expressions.

Discover how to simplify the algebraic expression -2 + 2z + 13 + 29 - z step by step. This problem involves combining like terms, covering fundamental algebraic concepts suitable for students in Grades 6-8.

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