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

Question

-6v-13
-24v-20
36v+28
106v+98

Answer 1

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

1. Distribute \( 2 \) into \( (3v + 9) \): \[ 2(3v) + 2(9) = 6v + 18 \]

2. Distribute \( -6 \) into \( (-5v - 4) \): \[ -6(-5v) - 6(-4) = 30v + 24 \]

3. Now substitute back into the expression: \[ 6v + 18 - 14 + 30v + 24 \]

4. Combine like terms: \[ (6v + 30v) + (18 - 14 + 24) = 36v + 28 \]

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