Final answer:
To solve the equation, simplify terms, isolate the variable k, and check the solution.
Step-by-step explanation:
To solve the given equation, we need to simplify the terms and isolate the variable k:
- Multiply both sides of the equation by 2k to eliminate the denominators.
- Distribute and simplify each side of the equation.
- Combine like terms and move all terms with k to one side of the equation.
- Combine like terms again and isolate k.
- Divide both sides of the equation by the coefficient of k.
- The value of k obtained is the solution to the equation.
Remember to always check the solution by substituting it back into the original equation to ensure it satisfies the equation.