Final answer:
The expression \(\frac{-2}{3}\)(9+12b) simplifies to -6 - 8b using the distributive property, where -6 is the product of \(\frac{-2}{3}\) and 9, and -8b the product of \(\frac{-2}{3}\) and 12b.
Step-by-step explanation:
The student has asked for assistance in simplifying the expression \(\frac{-2}{3}\)(9+12b).
This is a basic algebraic expression which requires the distributive property to simplify.
The distributive property allows us to multiply the fraction across each term inside the parentheses.
To apply the distributive property, multiply \(\frac{-2}{3}\) by 9 and \(\frac{-2}{3}\) by 12b separately:
- \(\frac{-2}{3} \times 9 = -6\)
- \(\frac{-2}{3} \times 12b = -8b\)
Combining these products, the simplified expression is -6 - 8b.