Solve 100n+100(n-1)/n=180

$$\frac { 100 n + 100 ( n - 1 ) } { n } = 180$$

Solve for n

$$n=5$$

Steps for Solving Linear Equation

Variable n cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by n.

$$100n+100\left(n-1\right)=180n$$

Use the distributive property to multiply 100 by n-1.

$$100n+100n-100=180n$$

Combine 100n and 100n to get 200n.

$$200n-100=180n$$

Subtract 180n from both sides.

$$200n-100-180n=0$$

Combine 200n and -180n to get 20n.

$$20n-100=0$$

Add 100 to both sides. Anything plus zero gives itself.

$$20n=100$$

Divide both sides by 20.

$$n=\frac{100}{20}$$

Divide 100 by 20 to get 5.

$$n=5$$