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((2w+3)/5)-((w-6)/2)=4
We move all terms to the left:
((2w+3)/5)-((w-6)/2)-(4)=0
We calculate fractions
(4w+6)/()+(-5w+30)/()-4=0
We multiply all the terms by the denominator
(4w+6)+(-5w+30)-4*()=0
We add all the numbers together, and all the variables
(4w+6)+(-5w+30)=0
We get rid of parentheses
4w-5w+6+30=0
We add all the numbers together, and all the variables
-1w+36=0
We move all terms containing w to the left, all other terms to the right
-w=-36
w=-36/-1
w=+36
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