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To rewrite the given quadratic equation in standard form, let's first analyze it:

The original equation is:

\[
-3x^2 - 3x - 9 = -2
\]

To convert it to standard form, we move all terms to one side so that the equation equals zero. Here's how:

1. Add \(2\) to both sides of the equation:

\[
-3x^2 - 3x - 9 + 2 = 0
\]

2. Simplify the constants:

\[
-3x^2 - 3x - 7 = 0
\]

Now the equation is in standard form, which is:

\[
Ax^2 + Bx + C = 0
\]

In this case:

- \( A = -3 \)
- \( B = -3 \)
- \( C = -7 \)

Would you like any further details or clarifications? 

Here are some related questions you may find useful:
1. How do you solve this quadratic equation using the quadratic formula?
2. What does the discriminant of this equation tell us about the nature of its roots?
3. Can this equation be factored, or should we use another method to solve it?
4. How would the graph of this quadratic equation look?
5. What is the vertex form of this quadratic equation?

**Tip**: Always ensure your quadratic equation is set equal to zero before attempting to solve it using standard methods like factoring or the quadratic formula.

Write the quadratic equation in standard form: -3x^2 - 3x - 9 = -2

Learn how to rewrite the quadratic equation -3x^2 - 3x - 9 = -2 in standard form. This step-by-step guide simplifies the equation to -3x^2 - 3x - 7 = 0 and explains the key algebraic concepts involved. Suitable for students in Grades 7-9.

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