SOLUTION: 1/2t-6+8(t-9+7)=4t*3-5+2+3/4t

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Question 165615This question is from textbook Amscos Integrated Algebra 1
: 1/2t-6+8(t-9+7)=4t*3-5+2+3/4tThis question is from textbook Amscos Integrated Algebra 1

Answer by jim_thompson5910(28598) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2F2%29t-6%2B8%28t-9%2B7%29=4t%2A3-5%2B2%2B%283%2F4%29t Start with the given equation


%281%2F2%29t-6%2B8%28t-9%2B7%29=12t-5%2B2%2B%283%2F4%29t Multiply


%281%2F2%29t-6%2B8t-72%2B56=12t-5%2B2%2B%283%2F4%29t Distribute.


4%28%281%2Fcross%282%29%29t-6%2B8t-72%2B56%29=4%2812t-5%2B2%2B%283%2Fcross%284%29%29t%29 Multiply both sides by the LCD 4 to clear any fractions.


2t-24%2B32t-288%2B224=48t-20%2B8%2B3t Distribute and multiply.


-88%2B34t=48t-20%2B8%2B3t Combine like terms on the left side.


-88%2B34t=-12%2B51t Combine like terms on the right side.


34t=-12%2B51t%2B88 Add 88 to both sides.


34t-51t=-12%2B88 Subtract 51t from both sides.


-17t=-12%2B88 Combine like terms on the left side.


-17t=76 Combine like terms on the right side.


t=%2876%29%2F%28-17%29 Divide both sides by -17 to isolate t.


t=-76%2F17 Reduce.


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Answer:

So the answer is t=-76%2F17 which approximates to t=-4.471.