# How do you solve 4d + 7 = - (2d + 41)?

Dec 1, 2015

$d = - 8$

#### Explanation:

Distribute the negative sign on the right side.

$4 d + 7 = - 2 d - 41$

Subtract $7$ from both sides.

$4 d + 7 - 7 = - 2 d - 41 - 7$

$4 d = - 2 d - 48$

Add $2 d$ to both sides.

$4 d + 2 d = - 2 d + 2 d - 48$

$6 d = - 48$

Divide both sides by $6$.

$\frac{6 d}{6} = \frac{- 48}{6}$

$d = - 8$