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(1-2a)/8+(2a-1)/9-9/3=(1-a)/4
We simplify the equation to the form, which is simple to understand
(1-2a)/8+(2a-1)/9-9/3=(1-a)/4
Reorder the terms in parentheses
( + 0.125-0.25a)+(2a-1)/9-3=(1-a)/4
Remove unnecessary parentheses
+ 0.125-0.25a+(2a-1)/9-3=(1-a)/4
Reorder the terms in parentheses
+ 0.125-0.25a+( + 0.22222222222222a-0.11111111111111)-3=(1-a)/4
Remove unnecessary parentheses
+ 0.125-0.25a + 0.22222222222222a-0.11111111111111-3=+(+1-a+)+/4
Reorder the terms in parentheses
+ 0.125-0.25a + 0.22222222222222a-0.11111111111111-3=( + 0.25-0.25a)
Remove unnecessary parentheses
+ 0.125-0.25a + 0.22222222222222a-0.11111111111111-3=0.25-0.25a
We move all terms containing a to the left and all other terms to the right.
-0.25a + 0.22222222222222a + 0.25a=0.25-0.125 + 0.11111111111111+3
We simplify left and right side of the equation.
+ 0.22222222222222a=+3.2361111111111
We divide both sides of the equation by 0.22222222222222 to get a.
a=14.5625
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