Algebra Examples

$\frac{4 n - 8}{n - 2} = n + 2 a$

Step 1

Factor each term.

Tap for more steps...

Step 1.1

Factor $4$ out of $4 n - 8$ .

Tap for more steps...

Step 1.1.1

Factor $4$ out of $4 n$ .

$\frac{4 (n) - 8}{n - 2} = n + 2 a$

Step 1.1.2

Factor $4$ out of $- 8$ .

$\frac{4 n + 4 \cdot - 2}{n - 2} = n + 2 a$

Step 1.1.3

Factor $4$ out of $4 n + 4 \cdot - 2$ .

$\frac{4 (n - 2)}{n - 2} = n + 2 a$

Step 1.2

Reduce the expression by cancelling the common factors.

Tap for more steps...

Step 1.2.1

Reduce the expression $\frac{4 (n - 2)}{n - 2}$ by cancelling the common factors.

Tap for more steps...

Step 1.2.1.1

Cancel the common factor.

$\frac{4 (n - 2)}{n - 2} = n + 2 a$

Step 1.2.1.2

Rewrite the expression.

$\frac{4}{1} = n + 2 a$

Step 1.2.2

Divide $4$ by $1$ .

$4 = n + 2 a$

Step 2

Solve the equation.

Tap for more steps...

Step 2.1

Rewrite the equation as $n + 2 a = 4$ .

$n + 2 a = 4$

Step 2.2

Subtract $2 a$ from both sides of the equation.

$n = 4 - 2 a$