Simplify 2(3v+9)−14−6(−5v−4)

Question

.(1 point)
Responses

36v+28
36 v plus 28

106v+98
106 v plus 98

−24v−20
negative 24 v minus 20

−6v−13

Answer 1

Let's simplify the expression step by step:

1. Start with the original expression:

   \( 2(3v + 9) - 14 - 6(-5v - 4) \)

2. Distribute the \(2\) and \(-6\):

   \( = 2 \cdot 3v + 2 \cdot 9 - 14 - 6 \cdot (-5v) - 6 \cdot (-4) \)

   \( = 6v + 18 - 14 + 30v + 24 \)

3. Combine like terms:

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

4. So, we have:

   \( 36v + 28 \)

The simplified expression is:

36v + 28