We are given the equation:

$-11 - 3k = k + 5$

Let's solve for $k$ step by step.

Step 1: Move all terms involving $k$ to one side

Add $3k$ to both sides:

$-11 = k + 3k + 5$

This simplifies to:

$-11 = 4k + 5$

Step 2: Move the constant terms to the other side

Subtract 5 from both sides:

$-11 - 5 = 4k$

Simplifying:

$-16 = 4k$

Step 3: Solve for $k$

Now, divide both sides by 4:

$k = \frac{-16}{4} = -4$

So, the solution is:

$k = -4$

Would you like more details or have any questions?

Here are some related questions:

1. What happens if you change the constant term on the right side of the equation?
2. How would the solution change if the coefficient of $k$ was different?
3. Can you solve for $k$ if the equation was quadratic?
4. How does moving terms affect the balance of an equation?
5. What if the equation involved fractions or decimals?

Tip: Always