Solve for w -79=7w+3(4w-1)

$- 79 = 7 w + 3 (4 w - 1)$

Step 1

Rewrite the equation as $7 w + 3 (4 w - 1) = - 79$ .

$7 w + 3 (4 w - 1) = - 79$

Step 2

Simplify $7 w + 3 (4 w - 1)$ .

Simplify each term.

Apply the distributive property.

$7 w + 3 (4 w) + 3 \cdot - 1 = - 79$

Multiply $4$ by $3$ .

$7 w + 12 w + 3 \cdot - 1 = - 79$

Multiply $3$ by $- 1$ .

$7 w + 12 w - 3 = - 79$

Add $7 w$ and $12 w$ .

$19 w - 3 = - 79$

Step 3

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

Add $3$ to both sides of the equation.

$19 w = - 79 + 3$

Add $- 79$ and $3$ .

$19 w = - 76$

Step 4

Divide each term in $19 w = - 76$ by $19$ and simplify.

Divide each term in $19 w = - 76$ by $19$ .

$\frac{19 w}{19} = \frac{- 76}{19}$

Simplify the left side.

Cancel the common factor of $19$ .

Cancel the common factor.

$\frac{19 w}{19} = \frac{- 76}{19}$

Divide $w$ by $1$ .

$w = \frac{- 76}{19}$

Simplify the right side.

Divide $- 76$ by $19$ .

$w = - 4$