SOLUTION: 0.4n - 18 = 3n - 16 - 0.8n

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Question 528565: 0.4n - 18 = 3n - 16 - 0.8n
Answer by jim_thompson5910(35256) About Me  (Show Source):
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0.4n-18=3n-16-0.8n Start with the given equation.


10%280.4n-18%29=10%283n-16-0.8n%29 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%2B180 Add 180 to both sides.


4n-22n=-160%2B180 Subtract 22n from both sides.


-18n=-160%2B180 Combine like terms on the left side.


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


n=%2820%29%2F%28-18%29 Divide both sides by -18 to isolate n.


n=-10%2F9 Reduce.


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Answer:

So the solution is n=-10%2F9


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