Answer:
![\frac{1}{7}-3(\frac{3}{7}n-\frac{2}{7})=1-\frac{9}{7}n](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B7%7D-3%28%5Cfrac%7B3%7D%7B7%7Dn-%5Cfrac%7B2%7D%7B7%7D%29%3D1-%5Cfrac%7B9%7D%7B7%7Dn)
Step-by-step explanation:
Given : Expression ![\frac{1}{7}-3(\frac{3}{7}n-\frac{2}{7})](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B7%7D-3%28%5Cfrac%7B3%7D%7B7%7Dn-%5Cfrac%7B2%7D%7B7%7D%29)
To find : Combine like terms to create an equivalent expression ?
Solution :
Step 1 - Write the expression,
![\frac{1}{7}-3(\frac{3}{7}n-\frac{2}{7})](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B7%7D-3%28%5Cfrac%7B3%7D%7B7%7Dn-%5Cfrac%7B2%7D%7B7%7D%29)
Step 2 - Apply distributive property, ![a(b+c)=ab+ac](https://tex.z-dn.net/?f=a%28b%2Bc%29%3Dab%2Bac)
![=\frac{1}{7}-3\times \frac{3}{7}n+3\times \frac{2}{7}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B7%7D-3%5Ctimes%20%5Cfrac%7B3%7D%7B7%7Dn%2B3%5Ctimes%20%5Cfrac%7B2%7D%7B7%7D)
![=\frac{1}{7}-\frac{9}{7}n+\frac{6}{7}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B7%7D-%5Cfrac%7B9%7D%7B7%7Dn%2B%5Cfrac%7B6%7D%7B7%7D)
Step 3 - Combine like terms,
![=\frac{1}{7}+\frac{6}{7}-\frac{9}{7}n](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B7%7D%2B%5Cfrac%7B6%7D%7B7%7D-%5Cfrac%7B9%7D%7B7%7Dn)
![=\frac{1+6}{7}-\frac{9}{7}n](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%2B6%7D%7B7%7D-%5Cfrac%7B9%7D%7B7%7Dn)
![=\frac{7}{7}-\frac{9}{7}n](https://tex.z-dn.net/?f=%3D%5Cfrac%7B7%7D%7B7%7D-%5Cfrac%7B9%7D%7B7%7Dn)
![=1-\frac{9}{7}n](https://tex.z-dn.net/?f=%3D1-%5Cfrac%7B9%7D%7B7%7Dn)
Therefore, ![\frac{1}{7}-3(\frac{3}{7}n-\frac{2}{7})=1-\frac{9}{7}n](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B7%7D-3%28%5Cfrac%7B3%7D%7B7%7Dn-%5Cfrac%7B2%7D%7B7%7D%29%3D1-%5Cfrac%7B9%7D%7B7%7Dn)
Answer:A
Step-by-step explanation:
Think about it as a process of elimination.
It can't be "B' for the simple fact that "increased by'' is a term that is often used for addition problems.
It can't be "C" because, as previously stated, sum is a term that is used in addition problems.
It can't be "D" because this is a unit that you are using.
Answer:
632 is the answers for the question
Step-by-step explanation:
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