Question

PLEASE HELP

4/9w = -8

Show your work in details if you can, I have a hard time understanding this.

Answer 1

4/9 w = -8

Multiply both sides by 9
4w = -72
Divide both sides by 4
W= -18

Or. Multiply both sides by 9/4
X= -18

Answer 2

`\begin{cases}\large\bf{\blue{ \implies}} \tt \: (4)/(9) \sf \: w \: = \: - 8 \\ \\ \large\bf{\blue{ \implies}} \tt \: (4 \sf \: w)/(9) \: = \: 8 \\ \\ \large\bf{\blue{ \implies}} \tt 4 \sf \: w \: = \: 9 \: * \: 8 \\ \\ \large\bf{\blue{ \implies}} \tt 4 \sf \: w \: = \: 72 \\ \\ \large\bf{\blue{ \implies}} \tt \sf \: w \: = \: \cancel(72)/(4) \\ \\ \large\bf{\blue{ \implies}} \tt \sf \: w \: = \: 18 \end{cases}`