Solve for f -8(1.14+1.6f)=-(1.92+4.8f)

$- 8 (1.14 + 1.6 f) = - (1.92 + 4.8 f)$

Simplify $- 8 (1.14 + 1.6 f)$ .

Start simplifying.

$0 + 0 - 8 (1.14 + 1.6 f) = - (1.92 + 4.8 f)$

Simplify by adding zeros.

$- 8 (1.14 + 1.6 f) = - (1.92 + 4.8 f)$

Apply the distributive property.

$- 8 \cdot 1.14 - 8 (1.6 f) = - (1.92 + 4.8 f)$

Multiply.

Multiply $- 8$ by $1.14$ .

$- 9.12 - 8 (1.6 f) = - (1.92 + 4.8 f)$

Multiply $1.6$ by $- 8$ .

$- 9.12 - 12.8 f = - (1.92 + 4.8 f)$

Simplify $- (1.92 + 4.8 f)$ .

Apply the distributive property.

$- 9.12 - 12.8 f = - 1 \cdot 1.92 - (4.8 f)$

Multiply.

Multiply $- 1$ by $1.92$ .

$- 9.12 - 12.8 f = - 1.92 - (4.8 f)$

Multiply $4.8$ by $- 1$ .

$- 9.12 - 12.8 f = - 1.92 - 4.8 f$

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

Add $4.8 f$ to both sides of the equation.

$- 9.12 - 12.8 f + 4.8 f = - 1.92$

Add $- 12.8 f$ and $4.8 f$ .

$- 9.12 - 8 f = - 1.92$

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

Add $9.12$ to both sides of the equation.

$- 8 f = - 1.92 + 9.12$

Add $- 1.92$ and $9.12$ .

$- 8 f = 7.2$

Divide each term in $- 8 f = 7.2$ by $- 8$ and simplify.

Divide each term in $- 8 f = 7.2$ by $- 8$ .

$\frac{- 8 f}{- 8} = \frac{7.2}{- 8}$

Simplify the left side.

Cancel the common factor of $- 8$ .

Cancel the common factor.

$\frac{- 8 f}{- 8} = \frac{7.2}{- 8}$

Divide $f$ by $1$ .

$f = \frac{7.2}{- 8}$

Simplify the right side.

Divide $7.2$ by $- 8$ .

$f = - 0.9$