Solve m=3-1/14n[n]

$$m = 3 - \frac { 1 } { 14 n } [ n ]$$

Solve for m

$$m = \frac{41}{14} = 2\frac{13}{14} \approx 2.928571429$$

$$n\neq 0$$

Steps for Solving Linear Equation

Express \frac{1}{14n}n as a single fraction.

$$m=3-\frac{n}{14n}$$

Cancel out n in both numerator and denominator.

$$m=3-\frac{1}{14}$$

Subtract \frac{1}{14} from 3 to get \frac{41}{14}.

$$m=\frac{41}{14}$$

Solve for n

$$n\neq 0$$

$$m=\frac{41}{14}\text{ and }n\neq 0$$

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 14n.

$$m\times 14n=14n\times 3-n$$

Multiply 14 and 3 to get 42.

$$m\times 14n=42n-n$$

Combine 42n and -n to get 41n.

$$m\times 14n=41n$$

Subtract 41n from both sides.

$$m\times 14n-41n=0$$

Combine all terms containing n.

$$\left(m\times 14-41\right)n=0$$

The equation is in standard form.

$$\left(14m-41\right)n=0$$

Divide 0 by 14m-41.

$$n=0$$

Variable n cannot be equal to 0.

$$n\in \emptyset$$