Final answer:
The question involves solving an algebraic equation with exponents and possibly complex numbers. The cube root of -343 is -7, but additional information on the method or rules for variables is necessary to solve for n in the equation provided.
Step-by-step explanation:
The question is asking to solve the equation with the form x^n (n) = k * y^3 = -343. The equation provided resembles an algebraic equation involving exponents and possibly complex numbers since the result is a negative cube (cubes of real numbers are either positive or zero). The specifics of the solution process are not provided in the question; however, the reference to using plus-four suggests that some method or transformation involving adding 4 to certain terms is being used. Without the full context or additional information in the question, this cannot be fully solved. Still, we know that the cube root of -343 is -7, since (-7)^3 = -343. Also, to solve for n in the format presented, it would generally require logarithmic functions.
To provide a more accurate and specific answer, additional information regarding the methods to be used or the rules governing the use of variables would be necessary. It should be noted that the information provided in the solution examples does not directly pertain to the given equation, hence of no use in this context.