Simplify 2(3v+9)āˆ’14āˆ’6(āˆ’5vāˆ’4)

2
(
3
š‘£
+
9
)
āˆ’
14
āˆ’
6
(
āˆ’
5
š‘£
āˆ’
4
)
.(1 point)
Responses

106v+98
106
š‘£
+
98
106 v plus 98

āˆ’6vāˆ’13
āˆ’
6
š‘£
āˆ’
13
negative 6 v minus 13

36v+28
36
š‘£
+
28
36 v plus 28

āˆ’24vāˆ’20 .........................

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

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:

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