Solve for f -8(14f+16)+16f=8(-14f-8)

$- 8 (14 f + 16) + 16 f = 8 (- 14 f - 8)$

Simplify $- 8 (14 f + 16) + 16 f$ .

Simplify each term.

Apply the distributive property.

$- 8 (14 f) - 8 \cdot 16 + 16 f = 8 (- 14 f - 8)$

Multiply $14$ by $- 8$ .

$- 112 f - 8 \cdot 16 + 16 f = 8 (- 14 f - 8)$

Multiply $- 8$ by $16$ .

$- 112 f - 128 + 16 f = 8 (- 14 f - 8)$

Add $- 112 f$ and $16 f$ .

$- 96 f - 128 = 8 (- 14 f - 8)$

Simplify $8 (- 14 f - 8)$ .

Apply the distributive property.

$- 96 f - 128 = 8 (- 14 f) + 8 \cdot - 8$

Multiply.

Multiply $- 14$ by $8$ .

$- 96 f - 128 = - 112 f + 8 \cdot - 8$

Multiply $8$ by $- 8$ .

$- 96 f - 128 = - 112 f - 64$

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

Add $112 f$ to both sides of the equation.

$- 96 f - 128 + 112 f = - 64$

Add $- 96 f$ and $112 f$ .

$16 f - 128 = - 64$

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

Add $128$ to both sides of the equation.

$16 f = - 64 + 128$

Add $- 64$ and $128$ .

$16 f = 64$

Divide each term in $16 f = 64$ by $16$ and simplify.

Divide each term in $16 f = 64$ by $16$ .

$\frac{16 f}{16} = \frac{64}{16}$

Simplify the left side.

Cancel the common factor of $16$ .

Cancel the common factor.

$\frac{16 f}{16} = \frac{64}{16}$

Divide $f$ by $1$ .

$f = \frac{64}{16}$

Simplify the right side.

Divide $64$ by $16$ .

$f = 4$