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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

36v+28
36 v plus 28

−24v−20

1 answer

Let's simplify the expression step by step:

Starting with: \[ 2(3v + 9) - 14 - 6(-5v - 4) \]

  1. Distribute the \(2\) into \((3v + 9)\): \[ = 6v + 18 - 14 - 6(-5v - 4) \]

  2. Simplify \( -14 + 18\): \[ = 6v + 4 - 6(-5v - 4) \]

  3. Now distribute the \(-6\) into \((-5v - 4)\): \[ = 6v + 4 + 30v + 24 \]

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

Thus, the simplified form of the expression is: \[ \boxed{36v + 28} \]