Answer:
[tex] \frac{8}{9}n - 1\frac{1}{3} [/tex]
Step-by-step explanation:
To find the expression that is equivalent to [tex] \frac{4}{9}(2n - 3) [/tex], let's simply as follows:
[tex] \frac{4}{9}(2n) - \frac{4}{9}(3) [/tex] (distributive property of multiplication)
[tex] \frac{4*2n}{9} - \frac{4*3}{9} [/tex]
[tex] \frac{4*2n}{9} - \frac{4*1}{3} [/tex]
[tex] \frac{8n}{9} - \frac{4}{3} [/tex]
[tex] = \frac{8}{9}n - 1\frac{1}{3} [/tex]
[tex] \frac{8}{9}n - 1\frac{1}{3} [/tex] is equivalent to [tex] \frac{4}{9}(2n - 3) [/tex].