SOLUTION: I need help solving the equation 4/3 (2q+6) - (5q-6)/6 - q/3 = 0 I know that the answer is q=-6 but I have no idea how they get that.

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Question 201971This question is from textbook Intermediate Algebra
: I need help solving the equation 4/3 (2q+6) - (5q-6)/6 - q/3 = 0
I know that the answer is q=-6 but I have no idea how they get that. This question is from textbook Intermediate Algebra

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%284%2F3%29%282q%2B6%29-%285q-6%29%2F6-q%2F3=0 Start with the given equation.


Multiply every term outside the parenthesis by the LCD 6 to clear out the fractions.


2%2A4%282q%2B6%29-%285q-6%29-2q=6%2A0 Simplify


8%282q%2B6%29-%285q-6%29-2q=0 Multiply


16q%2B48-5q%2B6-2q=0 Distribute.


9q%2B54=0 Combine like terms on the left side.


9q=0-54 Subtract 54 from both sides.


9q=-54 Combine like terms on the right side.


q=%28-54%29%2F%289%29 Divide both sides by 9 to isolate q.


q=-6 Reduce.


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Answer:

So the solution is q=-6