https://file.aiquickdraw.com/mathbot/file/17271966838411i211fcf.jpg

The equation presented in the image is:

\[
7(v + 2) = 42
\]

Let's solve for \( v \):

### Step 1: Divide both sides by 7 to simplify.
\[
\frac{7(v + 2)}{7} = \frac{42}{7}
\]
\[
v + 2 = 6
\]

### Step 2: Subtract 2 from both sides.
\[
v = 6 - 2
\]
\[
v = 4
\]

Thus, \( v = 4 \).

Would you like a more detailed explanation, or do you have any additional questions?

Here are 5 related questions you might find interesting:
1. What is the next step if the equation were \( 7(v + 3) = 49 \)?
2. How do you solve an equation like \( 5(v + 4) = 20 \)?
3. What happens if the equation has fractions, like \( \frac{7(v + 2)}{3} = 14 \)?
4. How do you check if your solution is correct in such problems?
5. What if there were variables on both sides of the equation, like \( 7(v + 2) = 5v + 10 \)?

**Tip**: Always perform inverse operations step by step to isolate the variable.

Solve for v in the equation 7(v + 2) = 42.

Learn how to solve the linear equation 7(v + 2) = 42 using simple algebraic techniques. This solution is ideal for students in Grades 6-8, focusing on isolating the variable to find the value of v.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation