Expand −7/6(3g+2) .(1 point) Responses 7/2g−7/3 Start Fraction 7 over 2 End Fraction g minus Start Fraction 7 over 3 End Fraction −7/2g+2 negative Start Fraction 7 over 2 End Fraction g plus 2 7/2g+2 Start Fraction 7 over 2 End Fraction g plus 2 −7/2g−7/3

Answer 1

To expand the expression \(-\frac{7}{6}(3g + 2)\), you can distribute \(-\frac{7}{6}\) to both terms inside the parentheses:

\[ -\frac{7}{6}(3g) + -\frac{7}{6}(2) \]

Now, calculate each term:

1. For the first term: \[ -\frac{7}{6}(3g) = -\frac{21}{6}g = -\frac{7}{2}g \]

2. For the second term: \[ -\frac{7}{6}(2) = -\frac{14}{6} = -\frac{7}{3} \]

Now, combining these results gives us:

\[ -\frac{7}{2}g - \frac{7}{3} \]

So the final expanded expression is:

\[ -\frac{7}{2}g - \frac{7}{3} \]

This corresponds to the response:

\(-\frac{7}{2}g - \frac{7}{3}\)