Simplify 2(3v+9)−14−6(−5v−4) .(1 point)

Question

Responses

106v+98
106 v plus 98

36v+28
36 v plus 28

−6v−13
negative 6 v minus 13

−24v−20

Answer 1

Let's simplify the expression step by step:

Given expression: \[ 2(3v + 9) - 14 - 6(-5v - 4) \]

1. Distribute \(2\) and \(-6\): \[ 2(3v) + 2(9) - 14 + 6(5v) + 6(4) \] This simplifies to: \[ 6v + 18 - 14 + 30v + 24 \]

2. Combine like terms:

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

Now we have: \[ 36v + 28 \]

So the simplified expression is: \[ \boxed{36v + 28} \]