To solve the equation \( 4(z + 5) = 32 \), follow these steps:

1. **Distribute** the 4 on the left-hand side:
   \[
   4z + 20 = 32
   \]

2. **Subtract** 20 from both sides to isolate the term with \( z \):
   \[
   4z = 32 - 20
   \]
   \[
   4z = 12
   \]

3. **Divide** both sides by 4 to solve for \( z \):
   \[
   z = \frac{12}{4}
   \]
   \[
   z = 3
   \]

So, the solution is \( z = 3 \).

Would you like more details, or do you have any other questions?

---

Here are 5 related questions for further practice:

1. Solve \( 5(x + 7) = 45 \).
2. What is the value of \( z \) if \( 3(z - 2) = 21 \)?
3. Simplify and solve \( 2(2y + 3) = 18 \).
4. If \( 6(m + 4) = 48 \), what is \( m \)?
5. Solve \( 7(k + 1) = 49 \) for \( k \).

**Tip:** Always perform distribution first when solving equations of this type, and then isolate the variable step by step.

Learn how to solve the equation 4(z + 5) = 32 with a detailed step-by-step solution. This problem involves basic algebraic concepts, including the distributive property and equation solving techniques. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation