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4\times 2+4w\times \frac{1}{4}=7
Variable w cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 4w, the least common multiple of w,4,4w.
8+4w\times \frac{1}{4}=7
Multiply 4 and 2 to get 8.
8+w=7
Multiply 4 and \frac{1}{4} to get 1.
w=7-8
Subtract 8 from both sides.
w=-1
Subtract 8 from 7 to get -1.