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1/5 (b+10)-7=1/3 (b-9)
We simplify the equation to the form, which is simple to understand
1/5(b+10)-7=1/3(b-9)
Simplifying:
+ 0.2*(b+10)-7=1/3*(b-9)
Simplifying:
+ 0.2*(b+10)-7=0.333333333333*(b-9)
Reorder the terms in parentheses
+( + 0.2b+2)-7=0.333333333333*(b-9)
Remove unnecessary parentheses
+ 0.2b+2-7=0.333333333333+*(+b-9+)
Reorder the terms in parentheses
+ 0.2b+2-7=+( + 0.333333333333b-3)
Remove unnecessary parentheses
+ 0.2b+2-7=0.333333333333b-3
We move all terms containing b to the left and all other terms to the right.
+ 0.2b-0.333333333333b=-3-2+7
We simplify left and right side of the equation.
-0.133333333333b=+2
We divide both sides of the equation by -0.133333333333 to get b.
b=-15
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