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

-6v - 13

-24v - 20

106v + 98

36v + 28

1 answer

Let's simplify the expression step by step:

Starting with the expression:

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

  1. Distribute \(2\) and \(-6\) in the expression:

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

This gives us:

\[ 6v + 18 - 14 + 30v + 24 \]

  1. Next, combine like terms:

Combine the constants:

\[ 18 - 14 + 24 = 28 \]

Combine the \(v\) terms:

\[ 6v + 30v = 36v \]

So, we have:

\[ 36v + 28 \]

Thus, the simplified expression is:

36v + 28