the quantity negative 6 minus one sixth times p end quantity plus the quantity two-thirds times p minus 8 end quantity
Let's simplify the expression step by step.
Negative 6 minus one sixth times p can be written as -6 - (1/6)p.
Two-thirds times p minus 8 can be written as (2/3)p - 8.
Therefore, the expression can be written as (-6 - (1/6)p) + ((2/3)p - 8).
Now, let's simplify further:
(-6 - (1/6)p) + ((2/3)p - 8)
= -6 - (1/6)p + (2/3)p - 8
= -14 - (1/6)p + (2/3)p
= -14 + (4/12)p - (8/12)p
= -14 - (4/12)p
= -14 - (1/3)p, which is the simplified expression.