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(w+2)/3-(w-4)/7=1
We simplify the equation to the form, which is simple to understand
(w+2)/3-(w-4)/7=1
Reorder the terms in parentheses
( + 0.333333333333w + 0.666666666667)-(w-4)/7=1
Remove unnecessary parentheses
+ 0.333333333333w + 0.666666666667-(w-4)/7=1
Reorder the terms in parentheses
+ 0.333333333333w + 0.666666666667-( + 0.142857142857w-0.571428571429)=1
Remove unnecessary parentheses
+ 0.333333333333w + 0.666666666667-0.142857142857w + 0.571428571429=1
We move all terms containing w to the left and all other terms to the right.
+ 0.333333333333w-0.142857142857w=+1-0.666666666667-0.571428571429
We simplify left and right side of the equation.
+ 0.190476190476w=-0.238095238096
We divide both sides of the equation by 0.190476190476 to get w.
w=-1.25
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