Tension Equation Question - Algebra Related

[crono_]

Just a quick question regarding the following equation for tension of an upward moving object.

T - mg = ma

According to my textbook (for this question at least), solving for T gives us...

T = m (g + a)

Looking back at the initial equation we have an m on both sides of the equal sign. But when bringing - mg to the other side and thus solving for T we then only have one m. Where did the second m go?

Thanks!

 

[rl.bhat]

T = m(a+g) = mg + ma. See. There are two ms .

 

[crono_]

That makes perfect sense! Thank you! :)

Forgive my ignorance, I've got a lot to brush up on with math and algebra, that is called factoring...right?