You have the equation:

\[
9x + 12y = -108
\]

To simplify or solve it, we need more context, such as whether you're looking to solve for one variable in terms of the other or aiming to solve for both variables (a system of equations would be required for that). However, I can simplify the equation by dividing through by the greatest common divisor (GCD) of 9 and 12, which is 3:

\[
\frac{9x + 12y}{3} = \frac{-108}{3}
\]

This simplifies to:

\[
3x + 4y = -36
\]

Now the equation is in its simplest form.

Would you like to solve for \(x\) or \(y\), or do you have more information for a system of equations?

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Here are 5 related questions:
1. Do you have another equation to solve for both \(x\) and \(y\)?
2. Are you looking for the general solution of this linear equation?
3. Should I rearrange the equation to express \(x\) in terms of \(y\) or vice versa?
4. Would you like to plot the equation on a graph?
5. Do you want to find specific integer solutions for \(x\) and \(y\)?

**Tip:** When simplifying an equation, always check for common factors to reduce complexity.

Learn how to simplify and solve the linear equation 9x + 12y = -108. This problem demonstrates how to use the greatest common divisor (GCD) to simplify linear equations. Suitable for students in Grades 8-10.

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