Simplify 2(3v+9)−14−6(−5v−4) .(1 point) Responses −6v−13 negative 6 v minus 13 106v+98 106 v plus 98 36v+28 36 v plus 28 −24v−20

Answer 1

To simplify the expression \( 2(3v + 9) - 14 - 6(-5v - 4) \), we will follow the order of operations.

1. Distribute the \( 2 \) in the first term: \[ 2(3v + 9) = 6v + 18 \]

2. Distribute the \( -6 \) in the third term: \[ -6(-5v - 4) = 30v + 24 \]

3. Now we substitute back into the expression: \[ 6v + 18 - 14 + 30v + 24 \]

4. Combine the like terms:

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

Putting it all together, we get: \[ 36v + 28 \]

So, the simplified expression is \( \boxed{36v + 28} \).