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1/7 (a+5)=1/6 (5-a)
We simplify the equation to the form, which is simple to understand
1/7(a+5)=1/6(5-a)
Reorder the terms in parentheses
+( + 0.14285714285714a + 0.71428571428571)=0.16666666666667*(5-a)
Remove unnecessary parentheses
+ 0.14285714285714a + 0.71428571428571=0.16666666666667+*(+5-a+)
Reorder the terms in parentheses
+ 0.14285714285714a + 0.71428571428571=+( + 0.83333333333333-0.16666666666667a)
Remove unnecessary parentheses
+ 0.14285714285714a + 0.71428571428571=0.83333333333333-0.16666666666667a
We move all terms containing a to the left and all other terms to the right.
+ 0.14285714285714a + 0.16666666666667a=0.83333333333333-0.71428571428571
We simplify left and right side of the equation.
+ 0.30952380952381a=0.11904761904762
We divide both sides of the equation by 0.30952380952381 to get a.
a=0.38461538461539
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