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22=6w+12-4w
Use the distributive property to multiply 6 by w+2.
22=2w+12
Combine 6w and -4w to get 2w.
2w+12=22
Swap sides so that all variable terms are on the left hand side.
2w=22-12
Subtract 12 from both sides.
2w=10
Subtract 12 from 22 to get 10.
w=\frac{10}{2}
Divide both sides by 2.
w=5
Divide 10 by 2 to get 5.