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12.75w-25=114.25
We move all terms to the left:
12.75w-25-(114.25)=0
We add all the numbers together, and all the variables
12.75w-139.25=0
We move all terms containing w to the left, all other terms to the right
12.75w=139.25
w=139.25/12.75
w=10+6.7142857142857/7.2857142857143
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