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14w+35+6\left(w-3\right)=277
Use the distributive property to multiply 7 by 2w+5.
14w+35+6w-18=277
Use the distributive property to multiply 6 by w-3.
20w+35-18=277
Combine 14w and 6w to get 20w.
20w+17=277
Subtract 18 from 35 to get 17.
20w=277-17
Subtract 17 from both sides.
20w=260
Subtract 17 from 277 to get 260.
w=\frac{260}{20}
Divide both sides by 20.
w=13
Divide 260 by 20 to get 13.