Hi,
WORK:
![\frac{1}{3} \times (r + 6) = \frac{1}{6} \times (r + 8) \\](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B3%7D%20%5Ctimes%20%28r%20%2B%206%29%20%3D%20%5Cfrac%7B1%7D%7B6%7D%20%5Ctimes%20%28r%20%2B%208%29%20%5C%5C%20)
Multiply both sides of equation by 3.
![r + 6 = \frac{1}{2} \times (r + 8)](https://tex.z-dn.net/?f=r%20%2B%206%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20%28r%20%2B%208%29)
Distribute one half thought parenthesis.
![r + 6 = \frac{1}{2} \times r + 4](https://tex.z-dn.net/?f=r%20%2B%206%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20r%20%2B%204)
Multiply both sides of equation by 2.
![2r + 12 = r + 8](https://tex.z-dn.net/?f=2r%20%2B%2012%20%3D%20r%20%2B%208)
Move r variable to left side and change its sign.
![2r - r + 12 = 8](https://tex.z-dn.net/?f=2r%20-%20r%20%2B%2012%20%3D%208)
Collect the like terms.
![r = 8 - 12](https://tex.z-dn.net/?f=r%20%3D%208%20-%2012)
Result:
![r = - 4](https://tex.z-dn.net/?f=r%20%3D%20-%204)
Hope this helps.
r3t40
Answer:
BET
Step-by-step explanation:
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