Question

How do you solve `6n - 3( - 3n + 2) = - 24+ 6n`?

Answer 1

`n = -2`

Explanation:

Step 1) Expand the terms in parenthesis taking special care to work the negative numbers correctly:

`6n + 9n - 6 = -24 + 6n`

Step 2) Combine like terms:

`15n - 6 = -24 + 6n`

Next, isolate the `n` terms on one side of the equation and the constants on the other side of the equation while keeping the equation balanced:

`15n - 6 + 6 - 6n = -24 + 6n + 6 - 6n`

`15n - 6n = -24 + 6`

`9n = -18`

Finally, solve for `n` and keep the equation balanced by dividing each side of the equation by `9`:

`(9n)/9 = (-18)/9`

`n = -2`