Question

How do you solve `5( n + 8 ) - 3 ( - n - 5 ) = - 7 n + 4 n`?

Answer 1

The solution of the equation is `n = -5`.

Explanation:

Begin by simplifying each side of the equation. On the left side of the equation, distribute the `5` and `-3`, then combine like terms. On the right side of the equation, combine like terms.

`5(n + 8) - 3(-n - 5 = -7n + 4n`
`5n + 40 + 3n + 15 = -3n`
`8n + 55 = -3n`

Now solve the equation using inverse operations.
`8n - 8n + 55 = -3n - 8n`
`55 = -11n`
`55/-11 = (-11n)/-11`
`-5 = n`