Solve -6=-k/3|K=?

$$- 6 = - \frac { k } { 3 } | K = ?$$

Solve for K

$$K=-\frac{18}{k}$$

$$K=\frac{18}{k}\text{, }k>0$$

Steps Using Definition of Absolute Value

Multiply both sides of the equation by 3.

$$-18=3\left(-\frac{k}{3}\right)|K|$$

Express 3\left(-\frac{k}{3}\right) as a single fraction.

$$-18=\frac{-3k}{3}|K|$$

Cancel out 3 and 3.

$$-18=-k|K|$$

Swap sides so that all variable terms are on the left hand side.

$$-k|K|=-18$$

Combine like terms and use the properties of equality to get the variable on one side of the equal sign and the numbers on the other side. Remember to follow the order of operations.

$$\left(-k\right)|K|=-18$$

Divide both sides by -k.

$$|K|=\frac{18}{k}$$

Use the definition of absolute value.

$$K=\frac{18}{k} K=-\frac{18}{k}$$

Solve for k

$$k=\frac{18}{|K|}$$

$$K\neq 0$$