https://file.aiquickdraw.com/mathbot/file/1725483793887quxv6t2x.jpg

To solve the equation for \( z \) given in the image:

\[
\frac{z + 1}{3} = 2
\]

Follow these steps:

1. **Multiply both sides by 3** to eliminate the fraction:
   \[
   z + 1 = 2 \times 3
   \]
   \[
   z + 1 = 6
   \]

2. **Subtract 1 from both sides** to solve for \( z \):
   \[
   z = 6 - 1
   \]
   \[
   z = 5
   \]

So, the solution is \( z = 5 \).

Would you like more details or have any questions?

Here are some related questions you might find helpful:

1. What are multi-step linear equations?
2. How do you solve linear equations with fractions?
3. How can you verify the solution to a linear equation?
4. What are common mistakes to avoid when solving equations?
5. How do you handle equations with variables on both sides?

**Tip:** Always check your solution by substituting it back into the original equation to ensure it satisfies the equation.

Learn how to solve the linear equation \( \frac{z + 1}{3} = 2 \) with step-by-step guidance. This problem is ideal for students in Grades 7-8, covering key algebraic concepts such as solving linear equations and working with fractions.

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