Solve for d -7d+8=-7+1-9d

$- 7 d + 8 = - 7 + 1 - 9 d$

Add $- 7$ and $1$ .

$- 7 d + 8 = - 6 - 9 d$

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

Add $9 d$ to both sides of the equation.

$- 7 d + 8 + 9 d = - 6$

Add $- 7 d$ and $9 d$ .

$2 d + 8 = - 6$

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

Subtract $8$ from both sides of the equation.

$2 d = - 6 - 8$

Subtract $8$ from $- 6$ .

$2 d = - 14$

Divide each term in $2 d = - 14$ by $2$ and simplify.

Divide each term in $2 d = - 14$ by $2$ .

$\frac{2 d}{2} = \frac{- 14}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 d}{2} = \frac{- 14}{2}$

Divide $d$ by $1$ .

$d = \frac{- 14}{2}$

Simplify the right side.

Divide $- 14$ by $2$ .

$d = - 7$