Expand −7/6(3g+2) .(1 point)

Answer 1

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

\[ -\frac{7}{6} \cdot 3g + -\frac{7}{6} \cdot 2. \]

Now perform the multiplication for each term:

1. For the first term: \[ -\frac{7}{6} \cdot 3g = -\frac{21}{6}g. \] This can be simplified to: \[ -\frac{7}{2}g \quad (\text{dividing both the numerator and denominator by 3}). \]

2. For the second term: \[ -\frac{7}{6} \cdot 2 = -\frac{14}{6}. \] This can be simplified to: \[ -\frac{7}{3} \quad (\text{dividing both the numerator and denominator by 2}). \]

Putting it all together, the expanded expression is:

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