To solve the equation \(8 + 2z = 16\), follow these steps:

1. Subtract 8 from both sides:
   \[
   2z = 16 - 8
   \]
   \[
   2z = 8
   \]

2. Divide both sides by 2:
   \[
   z = \frac{8}{2}
   \]
   \[
   z = 4
   \]

The solution is \(z = 4\).

Would you like further details or have any questions? Here are some related questions you might consider:

1. What is the value of \(z\) if the equation were \(8 + 3z = 16\)?
2. How would you graph the equation \(y = 8 + 2z\)?
3. What would the equation look like if you added 5 to both sides?
4. How can you check your solution for \(z\)?
5. What happens to the solution if \(8\) is replaced by a variable \(x\)? 

**Tip:** Always isolate the variable by performing inverse operations in the correct order.

Discover how to solve the linear equation 8 + 2z = 16 with a detailed, step-by-step explanation. This guide covers key algebra concepts such as isolating variables and applying properties of equality. Suitable for students in Grades 6-8.

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