To solve this equation, we need to first simplify both sides of the equation.

Left side:
-3.27k + 8 + 9.8
Combine the constants: 8 + 9.8 = 17.8
Therefore, the left side simplifies to: -3.27k + 17.8

Right side:
(15 + 9.8) - 3.67k
Combine the constants: 15 + 9.8 = 24.8
Therefore, the right side simplifies to: 24.8 - 3.67k

So, the equation -3.27k + 17.8 = 24.8 - 3.67k

Now, we can solve for k by moving all the terms containing k to one side of the equation:

-3.27k + 3.67k = 24.8 - 17.8
0.4k = 7
k = 7 / 0.4
k = 17.5

Therefore, the solution to the equation is k = 17.5.