To solve for \( -n + 3 \) given the equation \( 7n + 3 = 2n - 12 \), follow these steps:

1. **Isolate \( n \)** in the given equation:

\[ 7n + 3 = 2n - 12 \]

2. Subtract \( 2n \) from both sides:

\[ 7n - 2n + 3 = -12 \]
\[ 5n + 3 = -12 \]

3. Subtract 3 from both sides:

\[ 5n = -12 - 3 \]
\[ 5n = -15 \]

4. Divide by 5:

\[ n = \frac{-15}{5} \]
\[ n = -3 \]

5. Substitute \( n = -3 \) into \( -n + 3 \):

\[ -n + 3 = -(-3) + 3 \]
\[ -n + 3 = 3 + 3 \]
\[ -n + 3 = 6 \]

So, the value of \( -n + 3 \) is \( 6 \).

Do you want details or have any questions?

Here are 8 related questions for further exploration:

1. What is the solution to the equation \( 4n + 5 = 3n - 7 \)?
2. If \( 5x - 2 = 3x + 10 \), what is the value of \( x \)?
3. Solve for \( n \) in the equation \( 9n + 4 = 2n - 11 \).
4. What is the value of \( 2n - 5 \) if \( n = 4 \)?
5. How do you solve the equation \( 6n - 7 = 4n + 9 \)?
6. If \( 8n + 3 = 3n + 18 \), what is \( n \)?
7. What steps do you take to isolate a variable in a linear equation?
8. Can you solve for \( n \) in the equation \( 10n - 2 = 4n + 8 \)?

**Tip:** When solving linear equations, always aim to isolate the variable on one side of the equation to make solving for it straightforward.

Learn how to solve for -n + 3 in the linear equation 7n + 3 = 2n - 12 with a detailed step-by-step solution. This problem involves isolating variables in a linear equation and solving for -n + 3 using algebraic manipulation. 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