Solve -2[8-(4-w)]-8=4(w+5)

$$- 2 [ 8 - ( 4 - w ) ] - 8 = 4 ( w + 5 )$$

Solve for w

$$w=-6$$

Steps for Solving Linear Equation

To find the opposite of 4-w, find the opposite of each term.

$$-2\left(8-4-\left(-w\right)\right)-8=4\left(w+5\right)$$

The opposite of -w is w.

$$-2\left(8-4+w\right)-8=4\left(w+5\right)$$

Subtract 4 from 8 to get 4.

$$-2\left(4+w\right)-8=4\left(w+5\right)$$

Use the distributive property to multiply -2 by 4+w.

$$-8-2w-8=4\left(w+5\right)$$

Subtract 8 from -8 to get -16.

$$-16-2w=4\left(w+5\right)$$

Use the distributive property to multiply 4 by w+5.

$$-16-2w=4w+20$$

Subtract 4w from both sides.

$$-16-2w-4w=20$$

Combine -2w and -4w to get -6w.

$$-16-6w=20$$

Add 16 to both sides.

$$-6w=20+16$$

Add 20 and 16 to get 36.

$$-6w=36$$

Divide both sides by -6.

$$w=\frac{36}{-6}$$

Divide 36 by -6 to get -6.

$$w=-6$$