Answer:
B
Step-by-step explanation:
We have the equation:
[tex]3n-3=4n+1[/tex]
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:
[tex](3n-3)-3n=(4n+1)-3n[/tex]
The left side will cancel...
[tex]-3=(4n+1)-3n[/tex]
Subtract on the right:
[tex]-3=1n+1[/tex]
Remember that 1n is the same as just n. So:
[tex]-3=n+1[/tex]
Now, let's use the subtraction property of equality again to subtract 1 from both sides:
[tex](-3)-1=(n+1)-1[/tex]
The right side will cancel. Subtract on the left:
[tex]-4=n[/tex]
Symmetric property:
[tex]n=-4[/tex]
So, our answer is B.
And we're done!
