What is the solution to the equation -2n-2/3 = 12?
n=
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OpenStudy (igreen):
Is this it?
\(-2n - \dfrac{2}{3} = 12\)
OpenStudy (anonymous):
Multiply by LCD. -6n - 2 = 36
OpenStudy (anonymous):
Now solve
OpenStudy (anonymous):
It's -2n-2 over 3 btw @iGreen
OpenStudy (igreen):
Oh, so its:
\(\dfrac{-2n - 2}{3} = 12\)
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OpenStudy (igreen):
Multiply 3 to both sides.
OpenStudy (anonymous):
Yeah
OpenStudy (igreen):
What's 3 * 12?
OpenStudy (anonymous):
so three to -2n and 2 or 3 times -2n - 2 and 3 times 3?
OpenStudy (anonymous):
|dw:1418820743647:dw|
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OpenStudy (igreen):
No, we are multipying 3 to both sides, so the 3 that's being divided to -2n - 2 will cancel out, and we are just left with 12 * 3 on the right, and -2n - 2 on the left.
OpenStudy (igreen):
*multiplying
OpenStudy (anonymous):
Divide both sides by -2
OpenStudy (anonymous):
-2n = 38
OpenStudy (igreen):
So can you multiply 12 * 3.
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OpenStudy (anonymous):
Thank you so 36?
OpenStudy (igreen):
*?
OpenStudy (igreen):
Yep, that gives you \(-2n - 2 = 36\).
OpenStudy (igreen):
Now add 2 to both sides, what do you get?
OpenStudy (anonymous):
No...it's not 36...
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OpenStudy (igreen):
3 * 12 is 36.. @101
OpenStudy (anonymous):
so, i add 2 to -2n and 2?
OpenStudy (igreen):
Ignore him @TFIOS_GUS623
OpenStudy (igreen):
\(-2n - 2 = 36\)
Add 2 to both sides:
\(-2n - 2 + 2 = 36 + 2\)
Simplify that, what do you get?
OpenStudy (anonymous):
(-2(n+1)/3)3 = 12 x 3
You multiply both sides by 3.
-2(n + 1) = 36
-2n - 2 = 36
Add 2 to both sides and it becomes: -2n = 38
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OpenStudy (igreen):
@101 We're doing that step now, don't just tell him the answer.