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Question 3

A)Solve −2(4−n)=24(1 point)
Responses

−8
negative 8

16
16

8
8

−16

1 answer

To solve the equation \(-2(4 - n) = 24\), we can follow these steps:

  1. Distribute the \(-2\) on the left side of the equation:

\[ -2 \cdot 4 + 2n = 24 \] \[ -8 + 2n = 24 \]

  1. Add \(8\) to both sides to isolate the term with \(n\):

\[ 2n = 24 + 8 \] \[ 2n = 32 \]

  1. Now, divide both sides by \(2\):

\[ n = \frac{32}{2} \] \[ n = 16 \]

So, the solution is \(n = 16\).

The correct response is: 16