Let's check the options to find the correct simplified form of the expression 3v + 9 - 14 - 6(-5v - 4).
Option 1: 36v + 28
Option 2: 106v + 98
Option 3: -24v - 20
Option 4: -6v - 13
We can simplify the given expression as follows:
3v + 9 - 14 - 6(-5v - 4)
= 3v + 9 - 14 + 30v + 24 [Distributing -6 to -5v and -4]
= (3v + 30v) + (9 - 14 + 24) [Combining like terms]
= 33v + 19
So, the simplified form of the expression 3v + 9 - 14 - 6(-5v - 4) is 33v + 19.
Therefore, none of the given options - 36v + 28, 106v + 98, -24v - 20, -6v - 13 - matches the simplified form.