Given 6m−3n=m+5, express m in terms of n.

Sure, let's solve the equation step by step:

1. The given equation is 6m - 3n = m + 5.
2. We can start by moving the terms involving 'm' to one side of the equation and the constants to the other side. To do this, subtract 'm' from both sides of the equation to get: 6m - m = 5 + 3n.
3. This simplifies to 5m = 5 + 3n.
4. Now, to express 'm' in terms of 'n', we need to isolate 'm'. We can do this by dividing both sides of the equation by 5: m = (5 + 3n) / 5.
5. So, m is expressed in terms of n as m = 1 + 3n/5.