To simplify the expression \( t = 6i - 6i \), let's calculate it step by step.

1. Combine the like terms:
   \[
   t = 6i - 6i
   \]

Since \( 6i \) and \( -6i \) are like terms (both have the imaginary unit \( i \)), we can simply subtract them:

2. Simplifying:
   \[
   t = (6 - 6)i = 0i
   \]

Finally, \( 0i \) is just 0.

So, \( t = 0 \).

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Would you like to explore more details about imaginary numbers or have any questions?

Here are 5 related questions to consider:

1. What is the definition of an imaginary number?
2. How do you add or subtract complex numbers?
3. What is the square of the imaginary unit \( i \)?
4. How do you multiply two complex numbers?
5. Can you graph complex numbers on a coordinate plane?

**Tip:** When working with complex numbers, always combine like terms (real and imaginary parts) separately.

Explore how to simplify the expression 6i - 6i step-by-step with an explanation of imaginary number operations. This problem involves combining like terms of complex numbers and understanding the concept of zero in complex arithmetic. Suitable for high school students.

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