Explanation:
To solve the equation \(-18-6k=6+18k\), we can start by simplifying both sides of the equation.
On the left side, we have -18 - 6k, and on the right side, we have 6 + 18k.
We can simplify the equation by combining like terms. Adding 6k to both sides of the equation gives us:
\(-18 - 6k + 6k = 6 + 18k + 6k\)
Simplifying further, we get:
\(-18 = 6 + 24k\)
Next, we want to isolate the variable, which in this case is k. We can do this by subtracting 6 from both sides of the equation:
\(-18 - 6 = 6 + 24k - 6\)
Simplifying further, we have:
\(-24 = 24k\)
Finally, we can solve for k by dividing both sides of the equation by 24:
\(\frac{-24}{24} = \frac{24k}{24}\)
Simplifying, we get:
\-1 = k