The steps below show the incomplete solution to find the value of n for the equation 4n − 2n + 4 = −1 + 17:

Step 1: 4n − 2n + 4 = −1 + 17
Step 2: 4n − 2n + 4 = 16
Step 3: 2n + 4 = 16

Which of these is most likely the next step?


2n = 12

2n = 4

2n = 8

2n = 20

Respuesta :

Answer:

2n = 12

Step-by-step explanation:

4n-2n+4 = -1+17

add -1 and 17

4n-2n + 4 = 16

combine like terns

2n+ 4 = 16

subtract 4 from each side

2n+4-4 = 16-4

2n - 12

Answer:

(A) [tex]2n=12[/tex]

Step-by-step explanation:

The given equation is:

[tex]4n-2n+4=-1+17[/tex]

Solving the above equation, we get

Step 1. [tex]4n-2n+4=-1+17[/tex]

solving the RHS of the above equation, we get

Step 2. [tex]4n-2n+4=16[/tex]

Solving the LHs of the above equation, we get

Step 3. [tex]2n+4=16[/tex]

Step 4. [tex]2n=12[/tex]

⇒[tex]n=6[/tex]

Therefore, the value of n is [tex]6[/tex] and teh next step is  [tex]2n=12[/tex].

Hence, option (A) is correct.