Let's solve the equation step by step:

Given equation:
\[
4(n - 6) - 1 = 31
\]

### Step 1: Distribute the 4 on the left side:
\[
4 \times (n - 6) = 4n - 24
\]
So, the equation becomes:
\[
4n - 24 - 1 = 31
\]

### Step 2: Combine like terms:
\[
4n - 25 = 31
\]

### Step 3: Add 25 to both sides:
\[
4n = 31 + 25
\]
\[
4n = 56
\]

### Step 4: Divide both sides by 4:
\[
n = \frac{56}{4} = 14
\]

Thus, the solution is:
\[
n = 14
\]

Would you like more details or have any questions?

Here are some related questions for further practice:
1. Solve \(5(x - 3) + 2 = 22\).
2. Solve \(3(n + 7) - 4 = 20\).
3. Solve \(7(p - 2) + 9 = 30\).
4. Solve \(2(m - 5) - 6 = 10\).
5. Solve \(6(n + 3) - 8 = 40\).

**Tip:** Always simplify the equation step by step and keep the variable isolated to solve efficiently.

Learn how to solve the linear equation 4(n - 6) - 1 = 31 with a detailed, step-by-step guide. This problem focuses on key algebraic concepts like distribution and combining like terms, making it ideal 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