Question

How do you solve `-8(1/4n-3)=n+2`?

Answer 1

`n=22/3`

Explanation:

To solve this, we need to isolate the variable (`n`) on one side, and move everything else on the other side.

First, we can use the distributive property to simplify the left side of the equation:
`-8(1/4n-3)=n+2`
`-8(1/4n)-(-8)(3)=n+2`
`-2n-(-24)=n+2`
`-2n+24=n+2`

Adding `2n` to both sides, we have:
`24=3n+2`

Subtracting 2 from both sides, we have:
`22=3n`

Dividing by 3 gives:
`\frac{22}{3}=n`