How to solve 4k – 6 = -2k – 16 – 2 for k

To solve the equation (4k – 6 = -2k – 16 – 2) step-by-step:

1. Combine the constants on the right side:

(-16 – 2) simplifies to (-18).

So, the equation becomes:

(4k – 6 = -2k – 18)

2. Add (2k) to both sides to get all (k) terms on one side:

(4k + 2k – 6 = -18)

This simplifies to:

(6k – 6 = -18)

3. Add 6 to both sides to isolate the terms with (k):

(6k – 6 + 6 = -18 + 6)

This simplifies to:

(6k = -12)

4. Divide by 6 to solve for (k):

(k = frac{-12}{6})

Thus, (k = -2)

Final answer:

[ k = -2 ]

This approach systematically isolates (k) and leads to the solution. If you need further assistance, consider checking the extended services page!