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

1 answer

To simplify 2(3v + 9) -14 - 6(-5v - 4), we need to distribute the 2 and the -6 through their respective parentheses.

First, distribute the 2 through 3v + 9:
2(3v + 9) = 6v + 18

Next, distribute the -6 through -5v - 4:
-6(-5v - 4) = 30v + 24

Now we can substitute these values back into our original expression:
6v + 18 - 14 + 30v + 24

To simplify further, we can combine like terms.
Combine the v terms: 6v + 30v = 36v
Combine the constant terms: 18 - 14 + 24 = 28

The simplified expression is 36v + 28.