Question

-30+2r=4(4r-4) How do you work this problem out

Answer 1

Ok so you got -30+2r=4(4r-4)
You distribute and get -30+2r=16r-16
Then you subtract 16r on both sides to get -30-14r=-16, then you add 30 on both sides and get -14r=14 then divide both sides by -14 to get r by itself, so the answer is r=-1

Answer 2

Hey there!

First, you have to DISTRIBUTE

`-30+2r =4(4r) + 4(-4)`

`4(4r)= 16r`

`4(-4) = -16`

Your problem becomes:
`-30 + 2r = 16r +(-16)`

A NEGATIVE and a POSITIVE becomes a NEGATIVE

So, this makes your problem become this ↓

`2r - 30 = 16r - 16`

Secondly, we have to SUBTRACT by
`16r` on YOUR SIDES
`2r-30-16r = 16r -  16 - 16r`

We GET:
`(-14r) - 30 = -16`

Thirdly, we have to ADD by 30 on EACH OF YOUR SIDES

`-14r - 30 +30 = -16 + 30`

`-14r = 14`

CANCEL OUT:
`-30 + 30` because it gives you a outcome of
`0`

KEEP:
`-16 + 30`

Because it helps us solve for our ANSWER (almost!)

`-16 + 30 = 14`

Fourthly, we have to DIVIDE by
`-14` on each of YOUR SIDES

`(-14r)/(-14)=(14)/(-14)`

CANCEL OUT:
`(-14r)/(14)` because it gives you a value of a
`+1`

KEEP:
`(14)/(-14)` because it gives you a result of
`-1`

ANSWER:
`r = -1`

Good luck on your assignment and enjoy your day!

~
`LoveYourselfFirst:)`