Solve A=(a+2A/n-a)*n/n

$$A = \frac { ( a + \frac { 2 A } { n } - a ) \cdot n } { n }$$

Solve for A

$$\left\{\begin{matrix}A=0\text{, }&n\neq 0\\A\in \mathrm{R}\text{, }&n=2\end{matrix}\right.$$

Steps for Solving Linear Equation

Combine a and -a to get 0.

$$A=\frac{\frac{2A}{n}n}{n}$$

Express \frac{2A}{n}n as a single fraction.

$$A=\frac{\frac{2An}{n}}{n}$$

Cancel out n in both numerator and denominator.

$$A=\frac{2A}{n}$$

Subtract \frac{2A}{n} from both sides.

$$A-\frac{2A}{n}=0$$

To add or subtract expressions, expand them to make their denominators the same. Multiply A times \frac{n}{n}.

$$\frac{An}{n}-\frac{2A}{n}=0$$

Since \frac{An}{n} and \frac{2A}{n} have the same denominator, subtract them by subtracting their numerators.

$$\frac{An-2A}{n}=0$$

Multiply both sides of the equation by n.

$$An-2A=0$$

Combine all terms containing A.

$$\left(n-2\right)A=0$$

Divide 0 by -2+n.

$$A=0$$

Solve for a

$$a\in \mathrm{R}$$

$$\left(A=0\text{ and }n\neq 0\right)\text{ or }n=2$$