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17.5w=185.75-45.75
Subtract 45.75 from both sides.
17.5w=140
Subtract 45.75 from 185.75 to get 140.
w=\frac{140}{17.5}
Divide both sides by 17.5.
w=\frac{1400}{175}
Expand \frac{140}{17.5} by multiplying both numerator and the denominator by 10.
w=8
Divide 1400 by 175 to get 8.