Simplify 2(3v+9)−14−6(−5v−4)

Question

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

106v+98
106
𝑣
+
98
106 v plus 98

−6v−13
−
6
𝑣
−
13
negative 6 v minus 13

36v+28
36
𝑣
+
28
36 v plus 28

−24v−20 .........................

Answer 1

To simplify the expression \( 2(3v + 9) - 14 - 6(-5v - 4) \), we can follow these steps:

1. Distribute the constants in front of the parentheses:

   \[ 2(3v + 9) = 6v + 18 \]

   \[ -6(-5v - 4) = 30v + 24 \]

2. Substitute these results back into the expression:

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

3. Now, combine like terms:

   • Combine the \( v \) terms: \[ 6v + 30v = 36v \]

   • Combine the constant terms: \[ 18 - 14 + 24 = 28 \]

4. Putting it all together, we have:

   \[ 36v + 28 \]

Thus, the simplified expression is:

\[ \boxed{36v + 28} \]