Answer
$w=10\frac{1}{2}$
Work Step by Step
$w-7\frac{1}{2}=3$
$w-7\frac{1}{2}+7\frac{1}{2}=3+7\frac{1}{2}\longrightarrow$ add $7\frac{1}{2}$ to both sides
$w=10\frac{1}{2}$
To check, substitute the value for w and see of the result is true.
$10\frac{1}{2}-7\frac{1}{2}=3$
$3=3\checkmark$