solve.
the quantity negative 6 minus one sixth times p end quantity plus the quantity two-thirds times p minus 8 end quantity
To solve this expression, we need to simplify it by performing the operations in the correct order, following the order of operations (PEMDAS/BODMAS).
Firstly, we distribute the multiplication over the addition and subtraction:
-6 - (1/6)*p + (2/3)*p - 8
Next, we combine like terms:
-14/6*p + (2/3)*p - 14
To add or subtract fractions, we need to have a common denominator. In this case, we can multiply the first term by 3/3 and the second term by 6/6 to achieve this:
(-14/6*p)*(3/3) + (2/3)*p - 14
(-42/18*p) + (12/18)*p - 14
Now that we have a common denominator, we can combine the fractions:
(-42p + 12p)/18 - 14/1
(-30p)/18 - 14
Simplifying further:
-5/3p - 14