Solve for d 10d=-10d-8(-2d-9)

$10 d = - 10 d - 8 (- 2 d - 9)$

Step 1

Since $d$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$- 10 d - 8 (- 2 d - 9) = 10 d$

Step 2

Simplify $- 10 d - 8 (- 2 d - 9)$ .

Simplify each term.

Apply the distributive property.

$- 10 d - 8 (- 2 d) - 8 \cdot - 9 = 10 d$

Multiply $- 2$ by $- 8$ .

$- 10 d + 16 d - 8 \cdot - 9 = 10 d$

Multiply $- 8$ by $- 9$ .

$- 10 d + 16 d + 72 = 10 d$

Add $- 10 d$ and $16 d$ .

$6 d + 72 = 10 d$

Step 3

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

Subtract $10 d$ from both sides of the equation.

$6 d + 72 - 10 d = 0$

Subtract $10 d$ from $6 d$ .

$- 4 d + 72 = 0$

Step 4

Subtract $72$ from both sides of the equation.

$- 4 d = - 72$

Step 5

Divide each term in $- 4 d = - 72$ by $- 4$ and simplify.

Divide each term in $- 4 d = - 72$ by $- 4$ .

$\frac{- 4 d}{- 4} = \frac{- 72}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 d}{- 4} = \frac{- 72}{- 4}$

Divide $d$ by $1$ .

$d = \frac{- 72}{- 4}$

Simplify the right side.

Divide $- 72$ by $- 4$ .

$d = 18$