Solve for d 17+d+19=6(-2d-20)

$17 + d + 19 = 6 (- 2 d - 20)$

Step 1

Add $17$ and $19$ .

$d + 36 = 6 (- 2 d - 20)$

Step 2

Simplify $6 (- 2 d - 20)$ .

Apply the distributive property.

$d + 36 = 6 (- 2 d) + 6 \cdot - 20$

Multiply.

Multiply $- 2$ by $6$ .

$d + 36 = - 12 d + 6 \cdot - 20$

Multiply $6$ by $- 20$ .

$d + 36 = - 12 d - 120$

Step 3

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

Add $12 d$ to both sides of the equation.

$d + 36 + 12 d = - 120$

Add $d$ and $12 d$ .

$13 d + 36 = - 120$

Step 4

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

Subtract $36$ from both sides of the equation.

$13 d = - 120 - 36$

Subtract $36$ from $- 120$ .

$13 d = - 156$

Step 5

Divide each term in $13 d = - 156$ by $13$ and simplify.

Divide each term in $13 d = - 156$ by $13$ .

$\frac{13 d}{13} = \frac{- 156}{13}$

Simplify the left side.

Cancel the common factor of $13$ .

Cancel the common factor.

$\frac{13 d}{13} = \frac{- 156}{13}$

Divide $d$ by $1$ .

$d = \frac{- 156}{13}$

Simplify the right side.

Divide $- 156$ by $13$ .

$d = - 12$