Expand −76(3g+2)

.(1 point)
Responses

−72g+2
negative Start Fraction 7 over 2 End Fraction g plus 2

−72g−73
negative Start Fraction 7 over 2 End Fraction g minus Start Fraction 7 over 3 End Fraction

72g−73
Start Fraction 7 over 2 End Fraction g minus Start Fraction 7 over 3 End Fraction

72g+2

1 answer

To expand the expression \(-76(3g + 2)\), you'll need to distribute \(-76\) across the terms inside the parentheses.

  1. Multiply \(-76\) by \(3g\): \[ -76 \times 3g = -228g \]

  2. Multiply \(-76\) by \(2\): \[ -76 \times 2 = -152 \]

Now combine these results: \[ -76(3g + 2) = -228g - 152 \]

None of the provided responses exactly match this expansion. However, the correct answer is: \[ -228g - 152 \]