Let's solve the equation step by step.

Given:
\[
6 - 2(v + 3) = -2 - 3v
\]

### Step 1: Distribute \(-2\) on the left-hand side:
\[
6 - 2v - 6 = -2 - 3v
\]
Simplifying this, we have:
\[
-2v = -2 - 3v
\]

### Step 2: Add \(3v\) to both sides to eliminate the \(v\) term on the right:
\[
-2v + 3v = -2
\]
This simplifies to:
\[
v = -2
\]

So, the solution to the equation is:
\[
v = -2
\]

Would you like more details or have any questions?

Here are 5 questions to expand on this topic:
1. How do you handle equations with fractions?
2. What are the steps to solve multi-variable linear equations?
3. Can you explain how to check your solution after solving an equation?
4. How would this problem change if there were absolute value terms involved?
5. What is the significance of balancing both sides of an equation?

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

Discover how to solve the linear equation 6 - 2(v + 3) = -2 - 3v with a step-by-step solution. This problem focuses on algebraic techniques like distribution and combining like terms. 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