What value of k makes the statement true? xky4 (2x3 + 7x2y4) = 2x4y4 + 7x3y8

The value of k that would satisfy the expression is "1". How to get this, the solution is shown below:

xky4 (2x3 + 7x2y4) = 2x4y4 + 7x3y8

Distribute xy4 to the parentheses such as:

k (2x4y4 + 7x3y8) = 2x4y4 + 7x3y8

Divide both sides by 2x4y4 + 7x3y8 such as shown below:

k = (2x4y4 + 7x3y8) / (2x4y4 + 7x3y8)

k=1

The answer is "1".