Question

How do you solve `-6( 2n + 4) = 6- 6n`?

Answer 1

`n=-5`

Explanation:

Equation: `-6(2n+4)=6-6n`

Distribute left side `rArr -6(2n)+(-6(4))=6-6n`

Simplify distribution `rArr -12n+(-24)=6-6n`

Add `6n` to each side `rArr -12n\color(red)(+6n)+(-24)=6\cancel(-6n)\cancel(\color(red)(+6n))`

Subtract `(-24)` from each side `rArr -12n+6n\cancel(+(-24))\cancel(\color(indianred)(-(-24)))=6\color(indianred)(-(-24))`

Subtracting a negative number means adding the positive form `rArr -12n+6n=6+24`

Simplify like terms `rArr -6n=30`

Divide each side by `-6` to isolate the `n` `rArr (\cancel(\color(teal)(-6))n)/(\cancel(\color(teal)(-6)))=30/\color(teal)(-6)`

Solution: `n=-5`