Question

-2(6 - 3n) + 27n = -3(n - 8)

Answer 1

We want to solve the following

`\text{ -2(6-3n)+27n =-3(n-8)}`

First we distribute each multiplication on each side, so we get

`\text{ - 12 }+6n+27n=\text{ -3n+24}`

If we operate on the left side, we get

`\text{ -12 +33n= -3n+24}`

Now, we add 3n on both sides, so we get

`24\text{ = -12+33n+3n = -12+36n}`

Then, we add 12 on both sides, so we get

`36n=24+12=36`

Finally, we divide boths sides by 36, so we get

`n=(36)/(36)=1`

So the value of n is 1