Question

How do you solve `–(14n – 8) = – (9n – 8) – 5n`?

Answer 1

See a solution process below:

Explanation:

First, remove terms from their parenthesis being careful to manage the signs correctly.

`-14n 8 = -9n + 8 - 5n`

Now, group and combine like terms on the right side of the equation:

`-14n 8 = -9n - 5n + 8`

`-14n 8 = (-9 - 5)n + 8`

`-14n 8 = -14n + 8`

Because both sides of the equation are exactly the same `n` can be any real number. Therefore the solution to this problem is `n` is the set of all Real Numbers or `n = {RR}`

Answer 2

`n` `=` `RR`, where `RR` is any real number.

Explanation:

`-(14n-8)` `=` `-(9n-8)-5n`

`=>` `-14n+8` `=` `-9n+8-5n`

`=>` `-14n+8` `=` `-9n-5n+8`

`=>` `-14n+8` `=` `-14n+8`

`=>` Since the equation is same on the both sides, the value of `n` can be any real number.

`n` `=` `RR`