Simplify 2(3v+9)−14−6(−5v−4)

Let's simplify the expression step by step:

1. Start with \( 2(3v + 9) - 14 - 6(-5v - 4) \).

2. Distribute the 2 into \( (3v + 9) \): \[ 2(3v) + 2(9) = 6v + 18 \]

3. Distribute the -6 into \( (-5v - 4) \): \[ -6(-5v) - 6(-4) = 30v + 24 \]

4. Now substitute these results back into the expression: \[ 6v + 18 - 14 + 30v + 24 \]

5. Combine like terms:

   • For the \( v \) terms: \[ 6v + 30v = 36v \]
   • For the constant terms: \[ 18 - 14 + 24 = 28 \]

6. Putting it all together: \[ 36v + 28 \]

The final simplified expression is \( 36v + 28 \).

So, the correct response is: 36v + 28.