Solve for d -16+7d-4=6(d-5)-9

$- 16 + 7 d - 4 = 6 (d - 5) - 9$

Step 1

Subtract $4$ from $- 16$ .

$7 d - 20 = 6 (d - 5) - 9$

Step 2

Simplify $6 (d - 5) - 9$ .

Simplify each term.

Apply the distributive property.

$7 d - 20 = 6 d + 6 \cdot - 5 - 9$

Multiply $6$ by $- 5$ .

$7 d - 20 = 6 d - 30 - 9$

Subtract $9$ from $- 30$ .

$7 d - 20 = 6 d - 39$

Step 3

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

Subtract $6 d$ from both sides of the equation.

$7 d - 20 - 6 d = - 39$

Subtract $6 d$ from $7 d$ .

$d - 20 = - 39$

Step 4

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

Add $20$ to both sides of the equation.

$d = - 39 + 20$

Add $- 39$ and $20$ .

$d = - 19$