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(2/9)3/(9/2)6=(2/9)2m-1
We simplify the equation to the form, which is simple to understand
(2/9)3/(9/2)6=(2/9)2m-1
Reorder the terms in parentheses
( + 0.66666666666667)/(+4.5)*6=( + 0.22222222222222)*2m-1
Reorder the terms in parentheses
dividing of parentheses
( + 0.14814814814815)*6=( + 0.22222222222222)*2m-1
Reorder the terms in parentheses
( + 0.88888888888889)=( + 0.22222222222222)*2m-1
Remove unnecessary parentheses
+ 0.88888888888889=( + 0.22222222222222)*2m-1
Reorder the terms in parentheses
+ 0.88888888888889=( + 0.44444444444444m)-1
Remove unnecessary parentheses
+ 0.88888888888889=0.44444444444444m-1
We move all terms containing m to the left and all other terms to the right.
-0.44444444444444m=-1-0.88888888888889
We simplify left and right side of the equation.
-0.44444444444444m=-1.8888888888889
We divide both sides of the equation by -00.44444444444444 to get m.
m=4.25
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