SOLUTION: -3-4(4t-5)=-2(t+3) +11 solve proble and show steps

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Question 221553: -3-4(4t-5)=-2(t+3) +11
solve proble and show steps
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

-3-4%284t-5%29=-2%28t%2B3%29%2B11 Start with the given equation.


-3-16t%2B20=-2t-6%2B11 Distribute.


17-16t=-2t-6%2B11 Combine like terms on the left side.


17-16t=5-2t Combine like terms on the right side.


-16t=5-2t-17 Subtract 17 from both sides.


-16t%2B2t=5-17 Add 2t to both sides.


-14t=5-17 Combine like terms on the left side.


-14t=-12 Combine like terms on the right side.


t=%28-12%29%2F%28-14%29 Divide both sides by -14 to isolate t.


t=6%2F7 Reduce.


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Answer:

So the solution is t=6%2F7 which approximates to t=0.857.