Question

4(n + 5) = 4 + 2n

Group of answer choices

n = 12

n = -16

n = -7

n = -8

Answer 1

Given Equation:

4(n + 5) = 4 + 2n

To Find:

The value of n.

Solution:

By opening the brackets in the LHS, we get

4n + 20 = 4 + 2n

Now taking the like terms to one side, we get

4n - 2n = 4 - 20

By subtracting the like terms, we get

or, 2n = -16

By taking 2 to the RHS, we get

n = -16/2

or, n = -8

Answer:

Option 4. n = -8

Answer 2

n = - 8

Explanation:

`4(n + 5) = 4 + 2n`

Expand the terms in the bracket

That's

`4n + 20 = 4 + 2n`

Subtract 2n from both sides of the equation

`4n - 2n + 20 = 4 + 2n - 2n \\ 2n + 20 = 4`

Subtract 20 from both sides of the equation

`2n + 20 - 20 = 4 - 20 \\ 2n = - 16`

Divide both sides by 2

`(2n)/(2) = - ( 16)/(2) \\`

We have the final answer as

n = - 8

Hope this helps you