Solve 6+2/n+2=0.4

$$\frac { 6 + 2 } { n + 2 } = 0.4$$

Solve for n

$$n=18$$

Steps for Solving Linear Equation

Variable n cannot be equal to -2 since division by zero is not defined. Multiply both sides of the equation by n+2.

$$6+2=0.4\left(n+2\right)$$

Add 6 and 2 to get 8.

$$8=0.4\left(n+2\right)$$

Use the distributive property to multiply 0.4 by n+2.

$$8=0.4n+0.8$$

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

$$0.4n+0.8=8$$

Subtract 0.8 from both sides.

$$0.4n=8-0.8$$

Subtract 0.8 from 8 to get 7.2.

$$0.4n=7.2$$

Divide both sides by 0.4.

$$n=\frac{7.2}{0.4}$$

Expand \frac{7.2}{0.4} by multiplying both numerator and the denominator by 10.

$$n=\frac{72}{4}$$

Divide 72 by 4 to get 18.

$$n=18$$