<PRE><B>Question 622094</B>
{{{25/8=(1/3)b+3/2-(5/2)b}}} Start with the given equation.



{{{24(25/cross(8))=24((1/cross(3))b+3/cross(2)-(5/cross(2))b)}}} Multiply both sides by the LCD {{{24}}} to clear any fractions.



{{{75=8b+36-60b}}} Distribute and multiply.



{{{75=-52b+36}}} Combine like terms on the right side.



{{{0=-52b+36-75}}} Subtract {{{75}}} from both sides.



{{{52b=36-75}}} Add {{{52b}}} to both sides.



{{{52b=-39}}} Combine like terms on the right side.



{{{b=(-39)/(52)}}} Divide both sides by {{{52}}} to isolate {{{b}}}.



{{{b=-3/4}}} Reduce.



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Answer:


So the solution is {{{b=-3/4}}} </PRE>