Answer
$d=-8$
Work Step by Step
We start with the given equation: $-\frac{3d}{4}+5=11$
First, we subtract $5$ from both sides: $-\frac{3d}{4}+5-5=11-5$
Next, we combine the like terms: $-\frac{3d}{4}=6$
Finally, we multiply both sides by $-\frac{4}{3}$, the reciprocal of $-\frac{3}{4}$:
$-\frac{4}{3}\times-\frac{3d}{4}=6\times-\frac{4}{3}$
We simplify: $d=-8$
