Solve for n 3.3(n-8)-n=1.2

$3.3 (n - 8) - n = 1.2$

Step 1

Simplify $3.3 (n - 8) - n$ .

Simplify each term.

Apply the distributive property.

$3.3 n + 3.3 \cdot - 8 - n = 1.2$

Multiply $3.3$ by $- 8$ .

$3.3 n - 26.4 - n = 1.2$

Subtract $n$ from $3.3 n$ .

$2.3 n - 26.4 = 1.2$

Step 2

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

Add $26.4$ to both sides of the equation.

$2.3 n = 1.2 + 26.4$

Add $1.2$ and $26.4$ .

$2.3 n = 27.6$

Step 3

Divide each term in $2.3 n = 27.6$ by $2.3$ and simplify.

Divide each term in $2.3 n = 27.6$ by $2.3$ .

$\frac{2.3 n}{2.3} = \frac{27.6}{2.3}$

Simplify the left side.

Cancel the common factor of $2.3$ .

Cancel the common factor.

$\frac{2.3 n}{2.3} = \frac{27.6}{2.3}$

Divide $n$ by $1$ .

$n = \frac{27.6}{2.3}$

Simplify the right side.

Divide $27.6$ by $2.3$ .

$n = 12$