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Solve for w
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\frac{6}{2}=w-7
Divide both sides by 2.
3=w-7
Divide 6 by 2 to get 3.
w-7=3
Swap sides so that all variable terms are on the left hand side.
w=3+7
Add 7 to both sides.
w=10
Add 3 and 7 to get 10.