Answer:
To simplify the expression -6[3(2-2)], we can follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).
Step 1: Simplify the expression inside the parentheses:
2 - 2 = 0
Step 2: Multiply 3 by 0:
3(0) = 0
Step 3: Multiply -6 by 0:
-6(0) = 0
Therefore, the expression -6[3(2-2)] simplifies to 0.
Now, let's check the given options to find an equivalent expression:
A. -6(3z-2): This expression includes the variable 'z', which is not present in the original expression. So, it is not equivalent.
B. -18z-36: This expression includes the variable 'z', which is not present in the original expression. So, it is not equivalent.
C. -18z+36: This expression includes the variable 'z', which is not present in the original expression. So, it is not equivalent.
D. -6(z-6): This expression includes the variable 'z', which is not present in the original expression. So, it is not equivalent.
E. -6(3z-6): This expression includes the variable 'z', which is not present in the original expression. So, it is not equivalent.
None of the options A, B, C, D, or E are equivalent to the original expression.
Therefore, there is no equivalent expression among the given options.
Explanation: