Answer
$w=-2$ and $w=.8$
Work Step by Step
We are given that $|5w+3|=7$.
Therefore, $5w+3=7$ and $5w+3=-7$
We can solve each equation to find the solutions.
For $5w+3=7$, first subtract 3 from both sides.
$5w=4$
Divide both sides by 5.
$w=.8$
For $5w+3=-7$, first subtract 3 from both sides.
$5w=-10$
Divide both sides by 5.
$w=-2$