Final answer:
To solve for k in the equation 8k + 2m = 3m + k, rearrange the terms to isolate the variable k and then divide both sides by 7 to find the value of k.
Step-by-step explanation:
To solve the equation 8k + 2m = 3m + k for k, we can rearrange the terms to isolate the variable k. First, we can combine like terms by subtracting k from both sides of the equation and subtracting 2m from both sides as well:
8k - k = 3m - 2m
Simplifying this equation gives us:
7k = m
To solve for k, we can divide both sides of the equation by 7:
k = m/7