solve the equation for the variable indicated.\n$ax + z = aw - y$, for $a$

Explanation:

Step1: Isolate terms with a

Move terms with (a) to one - side and others to the other side. (ax - aw=-y - z)

Step2: Factor out a

Factor out (a) from the left - hand side. (a(x - w)=-(y + z))

Step3: Solve for a

Divide both sides by ((x - w)) (assuming (x\neq w)). (a=\frac{-(y + z)}{x - w}=\frac{y + z}{w - x})

Answer:

(a=\frac{y + z}{w - x})