https://file.aiquickdraw.com/mathbot/file/1730225274435x6qwtyh3.jpg

The equation provided is:

\[
-6 = \frac{w}{2}
\]

To solve for \( w \), we can isolate \( w \) by multiplying both sides of the equation by 2:

\[
-6 \times 2 = \frac{w}{2} \times 2
\]

This simplifies to:

\[
-12 = w
\]

So, the solution is:

\[
w = -12
\]

Would you like further details or have any questions?

Here are related questions to explore further:

1. What if the equation was \( -6 = \frac{w}{3} \) instead?
2. How would the answer change if the left side was positive, such as \( 6 = \frac{w}{2} \)?
3. Can you explain the process of isolating a variable in an equation?
4. How do you solve an equation if \( w \) is part of a more complex fraction, like \( -6 = \frac{w + 3}{2} \)?
5. What if there were multiple variables in the equation?

**Tip:** Always perform the same operation on both sides of the equation to maintain equality.

Learn how to solve the linear equation -6 = w/2 by isolating the variable w. This problem involves understanding properties of equality and equation manipulation, suitable for students in Grades 6-8.

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