Basic Math Examples

$5 n + 9 - 16 + 4 = 5 (4 n - 2 n + 8)$

Step 1

Since $n$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$5 (4 n - 2 n + 8) = 5 n + 9 - 16 + 4$

Step 2

Simplify $5 (4 n - 2 n + 8)$ .

Tap for more steps...

Step 2.1

Rewrite.

$0 + 0 + 5 (4 n - 2 n + 8) = 5 n + 9 - 16 + 4$

Step 2.2

Simplify by adding zeros.

$5 (4 n - 2 n + 8) = 5 n + 9 - 16 + 4$

Step 2.3

Subtract $2 n$ from $4 n$ .

$5 (2 n + 8) = 5 n + 9 - 16 + 4$

Step 2.4

Apply the distributive property.

$5 (2 n) + 5 \cdot 8 = 5 n + 9 - 16 + 4$

Step 2.5

Multiply.

Tap for more steps...

Step 2.5.1

Multiply $2$ by $5$ .

$10 n + 5 \cdot 8 = 5 n + 9 - 16 + 4$

Step 2.5.2

Multiply $5$ by $8$ .

$10 n + 40 = 5 n + 9 - 16 + 4$

Step 3

Simplify $5 n + 9 - 16 + 4$ .

Tap for more steps...

Step 3.1

Subtract $16$ from $9$ .

$10 n + 40 = 5 n - 7 + 4$

Step 3.2

Add $- 7$ and $4$ .

$10 n + 40 = 5 n - 3$

Step 4

Move all terms containing $n$ to the left side of the equation.

Tap for more steps...

Step 4.1

Subtract $5 n$ from both sides of the equation.

$10 n + 40 - 5 n = - 3$

Step 4.2

Subtract $5 n$ from $10 n$ .

$5 n + 40 = - 3$

Step 5

Move all terms not containing $n$ to the right side of the equation.

Tap for more steps...

Step 5.1

Subtract $40$ from both sides of the equation.

$5 n = - 3 - 40$

Step 5.2

Subtract $40$ from $- 3$ .

$5 n = - 43$

Step 6

Divide each term in $5 n = - 43$ by $5$ and simplify.

Tap for more steps...

Step 6.1

Divide each term in $5 n = - 43$ by $5$ .

$\frac{5 n}{5} = \frac{- 43}{5}$

Step 6.2

Simplify the left side.

Tap for more steps...

Step 6.2.1

Cancel the common factor of $5$ .

Tap for more steps...

Step 6.2.1.1

Cancel the common factor.

$\frac{5 n}{5} = \frac{- 43}{5}$

Step 6.2.1.2

Divide $n$ by $1$ .

$n = \frac{- 43}{5}$

Step 6.3

Simplify the right side.

Tap for more steps...

Step 6.3.1

Move the negative in front of the fraction.

$n = - \frac{43}{5}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$n = - \frac{43}{5}$

Decimal Form:

$n = - 8.6$

Mixed Number Form:

$n = - 8 \frac{3}{5}$