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Simplify 2(3v+9)−14−6(−5v−4) .

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

1 answer

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

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

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

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

  4. Combine like terms:

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

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

So the answer is \( \boxed{36v + 28} \).