Answer:
[tex]w=-12[/tex]
Step-by-step explanation:
[tex]\frac{5}{6} w + 21=-\frac{1}{3} (2w-9)[/tex]
Start by using distributive property and distributing [tex]-\frac{1}{3}[/tex] into what is in the parenthesis.
[tex]\frac{5}{6} w + 21=-\frac{2}{3}w+3[/tex]
Make sure that the fractions have a common denominator.
[tex]\frac{5}{6} w + 21=-\frac{4}{6}w+3[/tex]
Add [tex]-\frac{4}{6}w[/tex] to [tex]\frac{5}{6}w[/tex] and subtract 21 from 3 so that you have w on the opposite side of the number.
[tex]\frac{9}{6} w=-18[/tex]
Multiply by 6 so you will no longer have a fraction (you have to multiply on both sides)
[tex]9 w=-108[/tex]
Divide by 9 to get w
[tex]w=-12[/tex]
