Solve for n 6(n-3)-2n=10

$6 (n - 3) - 2 n = 10$

Simplify $6 (n - 3) - 2 n$ .

Simplify each term.

Apply the distributive property.

$6 n + 6 \cdot - 3 - 2 n = 10$

Multiply $6$ by $- 3$ .

$6 n - 18 - 2 n = 10$

Subtract $2 n$ from $6 n$ .

$4 n - 18 = 10$

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

Add $18$ to both sides of the equation.

$4 n = 10 + 18$

Add $10$ and $18$ .

$4 n = 28$

Divide each term in $4 n = 28$ by $4$ and simplify.

Divide each term in $4 n = 28$ by $4$ .

$\frac{4 n}{4} = \frac{28}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 n}{4} = \frac{28}{4}$

Divide $n$ by $1$ .

$n = \frac{28}{4}$

Simplify the right side.

Divide $28$ by $4$ .

$n = 7$