SOLUTION: what is the awnser to 2(n+12)=2(n+9)+6 3(2h+1)-2(h-4)=21 what is h?

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Question 683895: what is the awnser to
2(n+12)=2(n+9)+6
3(2h+1)-2(h-4)=21 what is h?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
2%28n%2B12%29=2%28n%2B9%29%2B6 Start with the given equation.


2n%2B24=2n%2B18%2B6 Distribute.


2n%2B24=2n%2B24 Combine like terms on the right side.


2n=2n%2B24-24 Subtract 24 from both sides.


2n-2n=24-24 Subtract 2n from both sides.


0n=24-24 Combine like terms on the left side.


0n=0 Combine like terms on the right side.


0=0 Simplify.


Since this equation is always true for any n value, this means n can equal any number. So there are an infinite number of solutions.

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3%282h%2B1%29-2%28h-4%29=21 Start with the given equation.


6h%2B3-2h%2B8=21 Distribute.


4h%2B11=21 Combine like terms on the left side.


4h=21-11 Subtract 11 from both sides.


4h=10 Combine like terms on the right side.


h=%2810%29%2F%284%29 Divide both sides by 4 to isolate h.


h=5%2F2 Reduce.


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Answer:

So the solution is h=5%2F2