SOLUTION: Can you please help me with this problem? 2/3(15-6a)=5/6(12a+8) Use the distributive property thank you!

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Question 211666This question is from textbook intermediate algebra
: Can you please help me with this problem?
2/3(15-6a)=5/6(12a+8)
Use the distributive property
thank you! This question is from textbook intermediate algebra

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%282%2F3%29%2815-6a%29=%285%2F6%29%2812a%2B8%29 Start with the given equation.


Multiply both sides by 6.


4%2815-6a%29=5%2812a%2B8%29 Multiply and simplify.


60-24a=60a%2B40 Distribute.


-24a=60a%2B40-60 Subtract 60 from both sides.


-24a-60a=40-60 Subtract 60a from both sides.


-84a=40-60 Combine like terms on the left side.


-84a=-20 Combine like terms on the right side.


a=%28-20%29%2F%28-84%29 Divide both sides by -84 to isolate a.


a=5%2F21 Reduce.


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Answer:

So the solution is a=5%2F21 which approximates to a=0.238.