All of the following are equivalent to 2(2a + b) + 8, except

C) 4(a + b + 2)

Step-by-step explanation:

In order to determine which equations is not equivalent to 2(2a + b) + 8, we need to solve the equation and match it with the options which are as follows:

A) 4a + 2b + 8

B) 2(2a + b + 4)

C) 4(a + b + 2)

D) 4a + 2(b + 4)

Therefore the equation, 2(2a + b) + 8 = 4a + 2b + 8

The first one 4a + 2b + 8 does match the equation mentioned in question.

The second one 2(2a + b + 4)  = 4a + 2b + 8, therefore this is also equivalent.

The third one 4(a + b + 2)  = 4a + 4b + 8. This one however is not equivalent to 2(2a + b) + 8 = 4a + 2b + 8.

The fourth one 4a + 2(b + 4) = 4a + 2b +8, this one is equivalent to 2(2a + b) + 8 = 4a + 2b + 8.

Hence, C) 4(a + b + 2)  is the only one that is not equivalent to the equation 2(2a + b) + 8

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