Solve n/c-16=5

$$\frac { n } { c } - 16 = 5$$

Solve for c

$$c=\frac{n}{21}$$

$$n\neq 0$$

Steps for Solving Linear Equation

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

$$n+c\left(-16\right)=5c$$

Subtract 5c from both sides.

$$n+c\left(-16\right)-5c=0$$

Combine c\left(-16\right) and -5c to get -21c.

$$n-21c=0$$

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

$$-21c=-n$$

Divide both sides by -21.

$$\frac{-21c}{-21}=-\frac{n}{-21}$$

Dividing by -21 undoes the multiplication by -21.

$$c=-\frac{n}{-21}$$

Divide -n by -21.

$$c=\frac{n}{21}$$

Variable c cannot be equal to 0.

$$c=\frac{n}{21}\text{, }c\neq 0$$

Solve for n

$$n=21c$$

$$c\neq 0$$

Solution Steps

Multiply both sides of the equation by c.

$$n+c\left(-16\right)=5c$$

Subtract c\left(-16\right) from both sides.

$$n=5c-c\left(-16\right)$$

Combine 5c and -c\left(-16\right) to get 21c.

$$n=21c$$