https://file.aiquickdraw.com/mathbot/file/1725991857189c8rkevqj.jpg

The equation from the image is:

\[
\frac{v - (-2)}{-3} = -3
\]

Let's solve this step by step.

### Step 1: Simplify the numerator
The expression \(v - (-2)\) can be rewritten as:

\[
v + 2
\]

So the equation becomes:

\[
\frac{v + 2}{-3} = -3
\]

### Step 2: Eliminate the denominator
To eliminate the fraction, multiply both sides of the equation by \(-3\):

\[
v + 2 = (-3) \times (-3)
\]

\[
v + 2 = 9
\]

### Step 3: Solve for \(v\)
Now, subtract 2 from both sides:

\[
v = 9 - 2
\]

\[
v = 7
\]

So, the solution is:

\[
v = 7
\]

Would you like further clarification or more details? Here are some related questions for practice:

1. How would the solution change if the denominator were positive?
2. What happens if you change the right-hand side of the equation to a different number?
3. Can you solve a similar equation with a positive numerator and denominator?
4. How can you verify the solution of this equation?
5. What are some other methods to solve equations involving fractions?

**Tip**: Always simplify terms first before manipulating equations, as it helps avoid sign errors.

Learn how to solve the linear equation (v - (-2)) / (-3) = -3 with step-by-step guidance. This problem involves basic algebraic manipulation and covers key concepts such as dealing with negative numbers and fractions. Ideal for students in Grades 6-8.

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