To solve the equation \( z + 2 = -6 \), we need to isolate the variable \( z \). Here are the steps:

1. Start with the given equation:
   \[
   z + 2 = -6
   \]

2. Subtract 2 from both sides of the equation to isolate \( z \):
   \[
   z + 2 - 2 = -6 - 2
   \]

3. Simplify both sides:
   \[
   z = -8
   \]

So, the solution to the equation \( z + 2 = -6 \) is \( z = -8 \).

Would you like more details or have any questions?

Here are some related questions you might find helpful:

1. What is the solution to \( z - 3 = 7 \)?
2. How do you solve the equation \( z + 5 = 0 \)?
3. What steps are involved in solving \( z - 4 = -10 \)?
4. How can you solve \( z + 6 = -1 \)?
5. What is the solution to \( z - 2 = -8 \)?

**Tip:** When solving equations, always perform the same operation on both sides to maintain equality.

Learn how to solve the linear equation z + 2 = -6 with a clear step-by-step solution. This problem focuses on key algebraic concepts such as isolating variables using the additive inverse property. Suitable for students in Grades 6-8.

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