Solve -3(-8w+8)-w=7(w-4)-2

$$- 3 ( - 8 w + 8 ) - w = 7 ( w - 4 ) - 2$$

Solve for w

$$w=-\frac{3}{8}=-0.375$$

Steps for Solving Linear Equation

Use the distributive property to multiply -3 by -8w+8.

$$24w-24-w=7\left(w-4\right)-2$$

Combine 24w and -w to get 23w.

$$23w-24=7\left(w-4\right)-2$$

Use the distributive property to multiply 7 by w-4.

$$23w-24=7w-28-2$$

Subtract 2 from -28 to get -30.

$$23w-24=7w-30$$

Subtract 7w from both sides.

$$23w-24-7w=-30$$

Combine 23w and -7w to get 16w.

$$16w-24=-30$$

Add 24 to both sides.

$$16w=-30+24$$

Add -30 and 24 to get -6.

$$16w=-6$$

Divide both sides by 16.

$$w=\frac{-6}{16}$$

Reduce the fraction \frac{-6}{16} to lowest terms by extracting and canceling out 2.

$$w=-\frac{3}{8}$$