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

Question

106v + 98
−6v − 13
36v + 28
−24v − 20

Answer 1

To simplify the expression \( 2(3v + 9) - 14 - 6(-5v - 4) \), let's follow the steps:

1. Distribute the \(2\) and \(-6\): \[ 2(3v + 9) = 6v + 18 \] \[ -6(-5v - 4) = 30v + 24 \]

2. Substitute these into the original expression: \[ 6v + 18 - 14 + 30v + 24 \]

3. Combine like terms:

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

4. Put it all together: \[ 36v + 28 \]

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