Answer:
B
Explanation:
We have the equation:
![3n-3=4n+1](https://img.qammunity.org/2021/formulas/mathematics/high-school/pb8f1rj4aluc40o39p9p2vl7o9sg5fltzg.png)
Let's solve for n. To do so, we want to isolate it.
Let's use the subtraction property of equality to subtract 3n from both sides:
![(3n-3)-3n=(4n+1)-3n](https://img.qammunity.org/2021/formulas/mathematics/high-school/52iccycg6t176u6hnhs5hjhhm73cc8t04i.png)
The left side will cancel...
![-3=(4n+1)-3n](https://img.qammunity.org/2021/formulas/mathematics/high-school/6739lhdafrp7ziz6181ik6b29swabwd0hi.png)
Subtract on the right:
![-3=1n+1](https://img.qammunity.org/2021/formulas/mathematics/high-school/jcfgppi53oalammdmciah82gb916779zdw.png)
Remember that 1n is the same as just n. So:
![-3=n+1](https://img.qammunity.org/2021/formulas/mathematics/high-school/78r3c66q71f8r4hh128ulxu32cmkdlqodn.png)
Now, let's use the subtraction property of equality again to subtract 1 from both sides:
![(-3)-1=(n+1)-1](https://img.qammunity.org/2021/formulas/mathematics/high-school/j7nkyd0m7rsbbkply2tksdzen99mfqbshw.png)
The right side will cancel. Subtract on the left:
![-4=n](https://img.qammunity.org/2021/formulas/mathematics/high-school/yxpdnw8ie8jia0jwdnojzt5edox9ipb2nn.png)
Symmetric property:
![n=-4](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ozdk98nk6xhcsh5ryad21jemh7bjfixblh.png)
So, our answer is B.
And we're done!