Question

Simplify the expression. Write your answers using integers or improper fractions.

− 3/2(− 3/2 q+ 5/3)+8q

Answer 1

`\sf \: (41)/(4) q + ( - 5)/(2)`

Explanation:

Let's simplify step-by-step.

−3/2(−3/2q+5/3)+8q

Distribute:

=(−3/2)(−3/2q)+(−3/2)(5/3)+8q

=9/4q+−5/2+8q

Combine Like Terms:

=9/4q+−5/2+8q

=(9/4q+8q)+(−5/2)

=41/4q+−5/2