Final answer:
The solution to the equation is n = -4 by isolating the variable n through subtraction, which corresponds to option B.
Step-by-step explanation:
To solve the equation 3n - 3 = 4n + 1, we first move all terms containing n to one side of the equation and the constant terms to the other side.
Subtract 3n from both sides: -3 = n + 1.
Subtract 1 from both sides: -4 = n.
The solution to the equation is n = -4, which corresponds to option B.