Question

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

Answer 1

(A)
`2n=12`

Explanation:

The given equation is:

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

Solving the above equation, we get

Step 1.
`4n-2n+4=-1+17`

solving the RHS of the above equation, we get

Step 2.
`4n-2n+4=16`

Solving the LHs of the above equation, we get

Step 3.
`2n+4=16`

Step 4.
`2n=12`

⇒
`n=6`

Therefore, the value of n is
`6` and teh next step is
`2n=12`.

Hence, option (A) is correct.

Answer 2

2n = 12

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