You seem to have provided a system of three equations. Let's clean them up to make them clearer:

1. $-3x(-6y) + 4z = -8$
2. $-3x(-y) + 2z = 10$
3. $3x + 4y - 3z = 1$

Now, let's simplify each equation:

1. $-3x(-6y) + 4z = -8$ simplifies to:
   $18xy + 4z = -8$

2. $-3x(-y) + 2z = 10$ simplifies to:
   $3xy + 2z = 10$

3. $3x + 4y - 3z = 1$ (no simplification needed).

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This is the simplified system of equations:

1. $18xy + 4z = -8$
2. $3xy + 2z = 10$
3. $3x + 4y - 3z = 1$

Would you like to solve this system, or do you need further clarification on how I simplified the equations?

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Here are 5 follow-up questions to deepen your understanding:

1. Would you like to solve the system of equations using substitution or elimination?
2. Are you looking to find specific values for $x$, $y$, and $z$?
3. Would you like a step-by-step explanation of solving systems of equations?
4. Should I express the solution in terms of one variable if no unique solution exists?
5. Do you need any help with related algebraic concepts such as factoring?

Tip: When simplifying equations, pay close attention to signs (positive and negative) to avoid errors.