Solve for a g=ca-b ; for a

$g = c a - b$ ; for $a$

Rewrite the equation as $c a - b = g$ .

$c a - b = g$

Add $b$ to both sides of the equation.

$c a = g + b$

Divide each term in $c a = g + b$ by $c$ and simplify.

Divide each term in $c a = g + b$ by $c$ .

$\frac{c a}{c} = \frac{g}{c} + \frac{b}{c}$

Simplify the left side.

Cancel the common factor of $c$ .

Cancel the common factor.

$\frac{c a}{c} = \frac{g}{c} + \frac{b}{c}$

Divide $a$ by $1$ .

$a = \frac{g}{c} + \frac{b}{c}$