Solve for f 9f-9(-f+4)=8+10+9f

$9 f - 9 (- f + 4) = 8 + 10 + 9 f$

Simplify $9 f - 9 (- f + 4)$ .

Simplify each term.

Apply the distributive property.

$9 f - 9 (- f) - 9 \cdot 4 = 8 + 10 + 9 f$

Multiply $- 1$ by $- 9$ .

$9 f + 9 f - 9 \cdot 4 = 8 + 10 + 9 f$

Multiply $- 9$ by $4$ .

$9 f + 9 f - 36 = 8 + 10 + 9 f$

Add $9 f$ and $9 f$ .

$18 f - 36 = 8 + 10 + 9 f$

Add $8$ and $10$ .

$18 f - 36 = 18 + 9 f$

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

Subtract $9 f$ from both sides of the equation.

$18 f - 36 - 9 f = 18$

Subtract $9 f$ from $18 f$ .

$9 f - 36 = 18$

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

Add $36$ to both sides of the equation.

$9 f = 18 + 36$

Add $18$ and $36$ .

$9 f = 54$

Divide each term in $9 f = 54$ by $9$ and simplify.

Divide each term in $9 f = 54$ by $9$ .

$\frac{9 f}{9} = \frac{54}{9}$

Simplify the left side.

Cancel the common factor of $9$ .

Cancel the common factor.

$\frac{9 f}{9} = \frac{54}{9}$

Divide $f$ by $1$ .

$f = \frac{54}{9}$

Simplify the right side.

Divide $54$ by $9$ .

$f = 6$