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Let's analyze the expressions and determine which ones equal \(-12\).

The question asks us to check which expressions equal \(-12\):

1. \(-\left(\dfrac{-36}{3}\right)\)  
   First, simplify inside the parentheses:
   \[
   \dfrac{-36}{3} = -12
   \]
   Then apply the negative sign outside:
   \[
   -(-12) = 12
   \]
   This does **not** equal \(-12\).

2. \(\dfrac{-36}{3}\)  
   Simplifying directly:
   \[
   \dfrac{-36}{3} = -12
   \]
   This **does** equal \(-12\).

3. \(-\left(\dfrac{36}{3}\right)\)  
   Simplify inside the parentheses:
   \[
   \dfrac{36}{3} = 12
   \]
   Then apply the negative sign outside:
   \[
   -(12) = -12
   \]
   This **does** equal \(-12\).

4. \(\dfrac{36}{3}\)  
   Simplifying directly:
   \[
   \dfrac{36}{3} = 12
   \]
   This does **not** equal \(-12\).

### Final result:
The correct selections that equal \(-12\) are:
- \(\dfrac{-36}{3}\)
- \(-\left(\dfrac{36}{3}\right)\)

Would you like more details on the steps? Here are some related questions:

1. What are the rules for dividing negative numbers?
2. Can negative signs outside parentheses affect the final value?
3. How can parentheses change the meaning of an expression?
4. What are common mistakes when simplifying fractions with negatives?
5. Why is order of operations important when working with negatives?

**Tip:** Always simplify expressions inside parentheses first before applying any external negative signs or operations.

Which of these are equal to -12? Select all that apply.

Learn how to identify which mathematical expressions are equal to -12 by simplifying and applying division rules with negative numbers. This problem focuses on the properties of dividing integers and applying negation, suitable for Grades 6-8.

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