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To solve the inequality \( z + 3 \leq 16 \), follow these steps:

1. **Isolate \( z \)**: Subtract 3 from both sides of the inequality.
   \[
   z + 3 - 3 \leq 16 - 3
   \]
   Simplifying, we get:
   \[
   z \leq 13
   \]

So, the solution to the inequality is:
\[
z \leq 13
\]

This means that \( z \) can be any value less than or equal to 13.

Would you like more details or have any questions?

Here are some related questions:
1. How would the solution change if the inequality was \( z + 3 \geq 16 \)?
2. What happens if we have \( z + 3 < 16 \) instead of \( \leq \)?
3. How would you graph the solution \( z \leq 13 \) on a number line?
4. What if the inequality was \( z + 3 = 16 \)? How would that change the solution?
5. How do you solve inequalities with variables on both sides?

**Tip:** When solving inequalities, treat them like equations, but remember to reverse the inequality sign if you multiply or divide by a negative number.

Learn how to solve the inequality z + 3 ≤ 16 by isolating the variable z. This problem covers key algebraic concepts, including inequalities and basic operations. Suitable for students in Grades 7-9.

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