solve for k.\n8k + 2m = 3m + k\no k = 70m\no k = 7m\no k = \\frac{7}{m}\no k = \\frac{m}{7}

Explanation:

Step1: Move terms with k to one - side

Subtract k from both sides: $8k - k+2m = 3m + k - k$ $7k+2m = 3m$

Step2: Move the term with m to the other side

Subtract 2m from both sides: $7k+2m - 2m=3m - 2m$ $7k=m$

Step3: Solve for k

Divide both sides by 7: $k=\frac{m}{7}$

Answer:

$k=\frac{m}{7}$