Solve for a Ma-Ta=g

$M a - T a = g$

Factor $a$ out of $M a - T a$ .

Factor $a$ out of $M a$ .

$a M - T a = g$

Factor $a$ out of $- T a$ .

$a M + a (- T) = g$

Factor $a$ out of $a M + a (- T)$ .

$a (M - T) = g$

Divide each term in $a (M - T) = g$ by $M - T$ and simplify.

Divide each term in $a (M - T) = g$ by $M - T$ .

$\frac{a (M - T)}{M - T} = \frac{g}{M - T}$

Simplify the left side.

Cancel the common factor of $M - T$ .

Cancel the common factor.

$\frac{a (M - T)}{M - T} = \frac{g}{M - T}$

Divide $a$ by $1$ .

$a = \frac{g}{M - T}$