24= -2(b-3)+8

I suppose you want to solve
24= -2(b-3)+8
for b, am I right?
If so, subtract 8 from both sides to get
16 = -2(b-3)
divide both sides by -2 to get
-8 = b-3
then add 3 to both sides to get
-5 = b
then check the answer
24 = -2(-5-3) + 8 = 16 + 8

Yes, you're on the right track.

To solve the equation 24 = -2(b-3) + 8 for b, you'll need to simplify and isolate the variable.

Let's step through it:

1. Begin by distributing the -2 to both terms inside the parentheses:
24 = -2 * (b-3) + 8
24 = -2b + 6 + 8

2. Combine like terms on the right side:
24 = -2b + 14

3. Next, isolate the -2b term by subtracting 14 from both sides:
24 - 14 = -2b
10 = -2b

4. Divide both sides of the equation by -2 to solve for b:
10 / -2 = b
-5 = b

Therefore, the solution to the equation is b = -5.

Now, let's check the answer:

Plug -5 back into the original equation and simplify:

24 = -2(-5-3) + 8
24 = -2(-8) + 8
24 = 16 + 8
24 = 24

The left side of the equation equals the right side, so our solution is correct.