How Do I Solve This Inelastic Collision Equation?

[karis scherer]

Here is the equation:
(45)(4)+(m)(7.6)=(45+m)(6)

As you can see this is an equation for an inelastic collision problem and i am obviously trying to figure out how to solve for "m"

now i already know that the answer is m=56 but i would like to know how you work it out, every time i try it something goes wrong. :(

 

[Doc Al]

Show what you've tried. Then we can give you advice you can use.

You want to collect all terms with "m" to one side. Start by multiplying out the right hand side.