Final answer:
The expression 4(b - 6) + 19 simplifies to 4b - 5. You distribute the 4 to both b and -6, then add 19 resulting in the answer option a) 4b - 5.
Step-by-step explanation:
The expression 4(b - 6) + 19 is to be simplified. To do this, distribute the 4 through the parentheses and then add 19:
4(b - 6) + 19 = 4b - 24 + 19
Now, combine the like terms -24 and +19:
4b - 24 + 19 = 4b - 5
So the correct response to 4(b - 6) + 19 is a) 4b - 5.