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2u-13+2w=31
To find the opposite of 13-2w, find the opposite of each term.
2u+2w=31+13
Add 13 to both sides.
2u+2w=44
Add 31 and 13 to get 44.
2u=44-2w
Subtract 2w from both sides.
\frac{2u}{2}=\frac{44-2w}{2}
Divide both sides by 2.
u=\frac{44-2w}{2}
Dividing by 2 undoes the multiplication by 2.
u=22-w
Divide 44-2w by 2.
2u-13+2w=31
To find the opposite of 13-2w, find the opposite of each term.
-13+2w=31-2u
Subtract 2u from both sides.
2w=31-2u+13
Add 13 to both sides.
2w=44-2u
Add 31 and 13 to get 44.
\frac{2w}{2}=\frac{44-2u}{2}
Divide both sides by 2.
w=\frac{44-2u}{2}
Dividing by 2 undoes the multiplication by 2.
w=22-u
Divide 44-2u by 2.