Question

solve for k.
-6k - 10 = 10 - 10k
k = \boxed{}

Explanation:

Step1: Add \(10k\) to both sides

To get all the \(k\)-terms on one side, we add \(10k\) to both sides of the equation \(-6k - 10 = 10 - 10k\). This gives us \(-6k + 10k - 10 = 10 - 10k + 10k\), which simplifies to \(4k - 10 = 10\).

Step2: Add 10 to both sides

Next, we add 10 to both sides to isolate the term with \(k\). So, \(4k - 10 + 10 = 10 + 10\), which simplifies to \(4k = 20\).

Step3: Divide by 4

Finally, we divide both sides by 4 to solve for \(k\). \(\frac{4k}{4}=\frac{20}{4}\), so \(k = 5\).

Answer:

\(5\)