solve for k

To solve for k in the equation 8(10 - k) = 2k, we distribute 8 to both terms inside the parentheses:

80 - 8k = 2k

Next, we can add 8k to both sides of the equation:

80 - 8k + 8k = 2k + 8k

This simplifies to:

80 = 10k

Finally, divide both sides of the equation by 10:

80/10 = 10k/10

8 = k

Therefore, the solution to the equation is k = 8.