Simplify the expression.
the quantity 1 divided by 4 end of quantity multiplied by n multiplied by the quantity negative 24 plus 8 multiplied by m minus 100 multiplied by p end of quantity.

a. –6n – 2mn + 25np

b. –6n + 2mn – 25np

c. –6n + 2m – 25np

d. –24n + 8mn – 100np