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Simplify 2(3v+9)−14−6(−5v−4)

.(1 point)
Responses

106v+98
106 v plus 98

−6v−13
negative 6 v minus 13

−24v−20
negative 24 v minus 20

36v+28

1 answer

Let's simplify the expression step by step:

  1. Start with the original expression: \[ 2(3v + 9) - 14 - 6(-5v - 4) \]

  2. Distribute the 2 in the first term: \[ 2 \cdot 3v + 2 \cdot 9 = 6v + 18 \]

  3. Distribute the -6 in the second term: \[ -6 \cdot (-5v) - 6 \cdot 4 = 30v + 24 \]

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

  5. Combine like terms:

    • Combine the \(v\) terms: \[ 6v + 30v = 36v \]
    • Combine the constant terms: \[ 18 - 14 + 24 = 28 \]

  6. Thus, the simplified expression is: \[ 36v + 28 \]

So, the answer is 36v + 28.