[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
[tex] \large \sf-\frac{2}{5}\left(45n+60\right) \\ [/tex]
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex] \large \sf \: -\frac{2}{5}\left(45n+60\right) \\ [/tex]
- Use the distributive property to multiply [tex]\sf-\frac{2}{5} \\ [/tex] by 45n+60.
[tex] \large \sf-\frac{2}{5}\times 45n-\frac{2}{5}\times 60 \\ [/tex]
- Express [tex]\sf-\frac{2}{5} \\ [/tex] × 45 as a single fraction.
[tex] \large \sf\frac{-2\times 45}{5}n-\frac{2}{5}\times 60 \\ [/tex]
- Multiply -2 and 45 to get -90.
[tex] \large \sf\frac{-90}{5}n-\frac{2}{5}\times 60 \\ [/tex]
- Divide -90 by 5 to get -18.
[tex] \large \sf-18n-\frac{2}{5}\times 60 \\ [/tex]
- Express [tex]\sf -\frac{2}{5}\times 60 \\ [/tex]as a single fraction.
[tex] \large \sf-18n+\frac{-2\times 60}{5} \\ [/tex]
- Multiply -2 and 60 to get -120.
[tex] \large \sf-18n+\frac{-120}{5} \\ [/tex]
- Divide -120 by 5 to get -24.
[tex] \large \boxed{ \bf \: -18n-24 }[/tex]
