https://file.aiquickdraw.com/mathbot/file/1726022337535asgyg8nz.jpg

The image contains the following equation:

\[
\frac{n - 5}{-2} = -7
\]

Let's solve for \(n\).

### Step 1: Eliminate the denominator
Multiply both sides of the equation by \(-2\) to get rid of the denominator:

\[
n - 5 = (-7) \times (-2)
\]
\[
n - 5 = 14
\]

### Step 2: Solve for \(n\)
Now, add 5 to both sides of the equation:

\[
n = 14 + 5
\]
\[
n = 19
\]

### Solution:
The value of \(n\) is \(19\).

Do you want more details, or have any further questions? Here are some related questions:

1. What happens if you divide both sides of an equation by a negative number?
2. How do you check if a solution is correct for an equation?
3. Can this method work for more complex equations involving fractions?
4. How do you handle multiple fractions in an equation?
5. What are the rules for dealing with negative signs in equations?

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

Learn how to solve the linear equation (n - 5) / -2 = -7 with this step-by-step guide. Understand the process of eliminating the denominator and solving for n. Perfect 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