Solve for n 8n-6(-5n-3)=18+7n

$8 n - 6 (- 5 n - 3) = 18 + 7 n$

Step 1

Simplify $8 n - 6 (- 5 n - 3)$ .

Simplify each term.

Apply the distributive property.

$8 n - 6 (- 5 n) - 6 \cdot - 3 = 18 + 7 n$

Multiply $- 5$ by $- 6$ .

$8 n + 30 n - 6 \cdot - 3 = 18 + 7 n$

Multiply $- 6$ by $- 3$ .

$8 n + 30 n + 18 = 18 + 7 n$

Add $8 n$ and $30 n$ .

$38 n + 18 = 18 + 7 n$

Step 2

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

Subtract $7 n$ from both sides of the equation.

$38 n + 18 - 7 n = 18$

Subtract $7 n$ from $38 n$ .

$31 n + 18 = 18$

Step 3

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

Subtract $18$ from both sides of the equation.

$31 n = 18 - 18$

Subtract $18$ from $18$ .

$31 n = 0$

Step 4

Divide each term in $31 n = 0$ by $31$ and simplify.

Divide each term in $31 n = 0$ by $31$ .

$\frac{31 n}{31} = \frac{0}{31}$

Simplify the left side.

Cancel the common factor of $31$ .

Cancel the common factor.

$\frac{31 n}{31} = \frac{0}{31}$

Divide $n$ by $1$ .

$n = \frac{0}{31}$

Simplify the right side.

Divide $0$ by $31$ .

$n = 0$