Solve 2w+(w-1)(n-1)=0

$$2 w + ( w - 1 ) ( n - 1 ) = 0$$

Solve for n

$$n=-\frac{w+1}{w-1}$$

$$w\neq 1$$

Steps for Solving Linear Equation

Use the distributive property to multiply w-1 by n-1.

$$2w+wn-w-n+1=0$$

Combine 2w and -w to get w.

$$w+wn-n+1=0$$

Subtract w from both sides. Anything subtracted from zero gives its negation.

$$wn-n+1=-w$$

Subtract 1 from both sides.

$$wn-n=-w-1$$

Combine all terms containing n.

$$\left(w-1\right)n=-w-1$$

Divide both sides by w-1.

$$\frac{\left(w-1\right)n}{w-1}=\frac{-w-1}{w-1}$$

Dividing by w-1 undoes the multiplication by w-1.

$$n=\frac{-w-1}{w-1}$$

Divide -w-1 by w-1.

$$n=-\frac{w+1}{w-1}$$

Solve for w

$$w=-\frac{1-n}{n+1}$$

$$n\neq -1$$

Steps for Solving Linear Equation

Use the distributive property to multiply w-1 by n-1.

$$2w+wn-w-n+1=0$$

Combine 2w and -w to get w.

$$w+wn-n+1=0$$

Add n to both sides. Anything plus zero gives itself.

$$w+wn+1=n$$

Subtract 1 from both sides.

$$w+wn=n-1$$

Combine all terms containing w.

$$\left(1+n\right)w=n-1$$

The equation is in standard form.

$$\left(n+1\right)w=n-1$$

Divide both sides by 1+n.

$$\frac{\left(n+1\right)w}{n+1}=\frac{n-1}{n+1}$$

Dividing by 1+n undoes the multiplication by 1+n.

$$w=\frac{n-1}{n+1}$$