https://file.aiquickdraw.com/mathbot/file/1725986628562yh5vjqea.jpg

The problem displayed in the image is:

\[
v + \frac{3}{4} = -\frac{1}{5}
\]

We need to solve for \(v\). Here's the step-by-step solution:

1. Subtract \(\frac{3}{4}\) from both sides to isolate \(v\):
   \[
   v = -\frac{1}{5} - \frac{3}{4}
   \]

2. To subtract the fractions, find a common denominator. The least common denominator of 5 and 4 is 20. So, rewrite the fractions with a denominator of 20:
   \[
   -\frac{1}{5} = -\frac{4}{20}, \quad \frac{3}{4} = \frac{15}{20}
   \]

3. Now subtract:
   \[
   v = -\frac{4}{20} - \frac{15}{20} = -\frac{19}{20}
   \]

Thus, the solution is:
\[
v = -\frac{19}{20}
\]

Would you like more details or have any other questions? 

Here are five related questions to expand your understanding:
1. How do you add or subtract fractions with different denominators?
2. How can you simplify a fraction after adding or subtracting it?
3. What happens when you subtract a larger fraction from a smaller one?
4. How do you check if your answer for a linear equation is correct?
5. How would you approach solving an equation with fractions on both sides?

**Tip:** When dealing with fractions in equations, finding the least common denominator (LCD) simplifies operations.

Learn how to solve the equation v + 3/4 = -1/5 by isolating v, finding a common denominator for fractions, and simplifying the answer. This problem is suitable for students in Grades 6-8 and covers essential algebraic concepts.

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