https://file.aiquickdraw.com/mathbot/file/1727809453566yca21yaz.jpg

The equation given in the image is:

\[
\frac{v + 14}{6} = -28
\]

To solve for \( v \), follow these steps:

1. Multiply both sides of the equation by 6 to eliminate the denominator:

\[
v + 14 = -28 \times 6
\]

\[
v + 14 = -168
\]

2. Subtract 14 from both sides to solve for \( v \):

\[
v = -168 - 14
\]

\[
v = -182
\]

Thus, the solution is:

\[
v = -182
\]

Would you like more details on any step or have further questions?

Here are 5 related questions to further expand your understanding:
1. How do you solve equations with fractions?
2. Can you solve for \( v \) if the equation had a different denominator?
3. How do you check if the solution \( v = -182 \) is correct?
4. What happens if the fraction is on the right-hand side instead of the left?
5. Can this method be applied to equations with more than one variable?

**Tip**: Always verify your solution by plugging it back into the original equation to ensure it satisfies the equation.

Solve for v in the equation (v + 14) / 6 = -28.

Learn how to solve the linear equation (v + 14) / 6 = -28 with a step-by-step explanation. This problem focuses on solving linear equations with fractions and simplifying expressions. Suitable for Grades 7-9.

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