Question 560566
{{{4w+(9/10)w+3/2=(1/5)w}}} Start with the given equation.



{{{10(4w+(9/cross(10))w+3/cross(2))=10((1/cross(5))w)}}} Multiply both sides by the LCD {{{10}}} to clear any fractions.



{{{40w+9w+15=2w}}} Distribute and multiply.



{{{49w+15=2w}}} Combine like terms on the left side.



{{{49w=2w-15}}} Subtract {{{15}}} from both sides.



{{{49w-2w=-15}}} Subtract {{{2w}}} from both sides.



{{{47w=-15}}} Combine like terms on the left side.



{{{w=(-15)/(47)}}} Divide both sides by {{{47}}} to isolate {{{w}}}.



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Answer:


So the solution is {{{w=-15/47}}} 

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