https://file.aiquickdraw.com/mathbot/file/1726231128043ajim9emy.jpg

The equation given in the image is:

\[
2(n + 5) = -3n + 20
\]

We need to solve for \( n \). Let's go through the steps:

### Step 1: Expand both sides
Expand the left-hand side:

\[
2(n + 5) = 2n + 10
\]

Now, the equation is:

\[
2n + 10 = -3n + 20
\]

### Step 2: Combine like terms
Add \( 3n \) to both sides to move all terms involving \( n \) to one side:

\[
2n + 3n + 10 = 20
\]

This simplifies to:

\[
5n + 10 = 20
\]

### Step 3: Isolate \( n \)
Subtract 10 from both sides:

\[
5n = 10
\]

### Step 4: Solve for \( n \)
Divide both sides by 5:

\[
n = \frac{10}{5} = 2
\]

So, the value of \( n \) is \( 2 \).

Would you like more details or have any questions?

Here are 5 related questions to explore further:
1. What is the process of solving equations with variables on both sides?
2. How do you handle equations with parentheses?
3. Can you check if \( n = 2 \) satisfies the original equation?
4. What happens if there are no solutions to a linear equation?
5. How do you solve linear equations with fractions?

**Tip:** Always check your solution by substituting it back into the original equation to ensure both sides are equal.

Solve the equation 2(n + 5) = -3n + 20. What is the value of n?

This page explains how to solve the linear equation 2(n + 5) = -3n + 20 using algebraic methods like expansion, combining like terms, and isolating the variable. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation