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

$\frac{-14r}{-14}=\frac{14}{-14}$

CANCEL OUT: $\frac{-14r}{14}$ because it gives you a value of a $+1$

KEEP: $\frac{14}{-14}$ because it gives you a result of $-1$

ANSWER: $r = -1$

Good luck on your assignment and enjoy your day!

~$LoveYourselfFirst:)$