SOLUTION: 14-9(4-3q)=5(q+6)-7q

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Question 632439: 14-9(4-3q)=5(q+6)-7q
Answer by jim_thompson5910(35256) About Me  (Show Source):
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14-9%284-3q%29=5%28q%2B6%29-7q Start with the given equation.


14-36%2B27q=5q%2B30-7q Distribute.


27q-22=5q%2B30-7q Combine like terms on the left side.


27q-22=-2q%2B30 Combine like terms on the right side.


27q=-2q%2B30%2B22 Add 22 to both sides.


27q%2B2q=30%2B22 Add 2q to both sides.


29q=30%2B22 Combine like terms on the left side.


29q=52 Combine like terms on the right side.


q=%2852%29%2F%2829%29 Divide both sides by 29 to isolate q.


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Answer:

So the solution is q=52%2F29

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