To solve the first equation, we first simplify by isolating the term with the variable b:

3*b + 160 = 280

Next, we subtract 160 from both sides:

3*b = 120

Then, divide by 3:

b = 40

Now, for the second equation:

9*(560/t - 5) = 27

First, simplify inside the parentheses:

560/t - 5 = 3

Add 5 to both sides:

560/t = 8

Multiply by t:

560 = 8t

Divide by 8:

t = 70