Solve for n 6(n-4)=3n

$6 (n - 4) = 3 n$

Step 1

Simplify $6 (n - 4)$ .

Rewrite.

$0 + 0 + 6 (n - 4) = 3 n$

Simplify by adding zeros.

$6 (n - 4) = 3 n$

Apply the distributive property.

$6 n + 6 \cdot - 4 = 3 n$

Multiply $6$ by $- 4$ .

$6 n - 24 = 3 n$

Step 2

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

Subtract $3 n$ from both sides of the equation.

$6 n - 24 - 3 n = 0$

Subtract $3 n$ from $6 n$ .

$3 n - 24 = 0$

Step 3

Add $24$ to both sides of the equation.

$3 n = 24$

Step 4

Divide each term in $3 n = 24$ by $3$ and simplify.

Divide each term in $3 n = 24$ by $3$ .

$\frac{3 n}{3} = \frac{24}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 n}{3} = \frac{24}{3}$

Divide $n$ by $1$ .

$n = \frac{24}{3}$

Simplify the right side.

Divide $24$ by $3$ .

$n = 8$