Question 528565
{{{0.4n-18=3n-16-0.8n}}} Start with the given equation.



{{{10(0.4n-18)=10(3n-16-0.8n)}}} Multiply both sides by 10 to clear out the decimals.



{{{4n-180=30n-160-8n}}} Distribute and multiply.



{{{4n-180=22n-160}}} Combine like terms on the right side.



{{{4n=22n-160+180}}} Add {{{180}}} to both sides.



{{{4n-22n=-160+180}}} Subtract {{{22n}}} from both sides.



{{{-18n=-160+180}}} Combine like terms on the left side.



{{{-18n=20}}} Combine like terms on the right side.



{{{n=(20)/(-18)}}} Divide both sides by {{{-18}}} to isolate {{{n}}}.



{{{n=-10/9}}} Reduce.



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Answer:


So the solution is {{{n=-10/9}}} 



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