Expand 1/3(q-6) using the distributive property.

a. -1/3q+6

b. 1/3q-2

c. 1/3q-6

d. -1/3q+2

Using the distributive property, we multiply 1/3 with both terms inside the parentheses:

1/3(q) - 1/3(6)

This simplifies to:

1/3q - 6/3

The fraction 6/3 can be further simplified to 2, so we have:

1/3q - 2

Therefore, the correct answer is: b. 1/3q - 2