#### Answer

d=$\frac{10}{7}$

#### Work Step by Step

To solve for d in the equation
11(d+1)=4(d+8), we'll start by applying the distributive property (which says that a(b+c)=ab+ac) to both sides of the equation. We'll distribute the 11 on the left side, and we'll distribute the 4 on the right side. This will result in
11d+22=4d+32
We'll then subtract 4d from both sides of the equation and subtract 22 from both sides of the equation to isolate the d term on one side. We'll then get
7d=10
Now, to solve for d, we'll divide by 7 on both sides of the equation to get
d=$\frac{10}{7}$