Question 632439
{{{14-9(4-3q)=5(q+6)-7q}}} Start with the given equation.



{{{14-36+27q=5q+30-7q}}} Distribute.



{{{27q-22=5q+30-7q}}} Combine like terms on the left side.



{{{27q-22=-2q+30}}} Combine like terms on the right side.



{{{27q=-2q+30+22}}} Add {{{22}}} to both sides.



{{{27q+2q=30+22}}} Add {{{2q}}} to both sides.



{{{29q=30+22}}} Combine like terms on the left side.



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



{{{q=(52)/(29)}}} Divide both sides by {{{29}}} to isolate {{{q}}}.



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Answer:


So the solution is {{{q=52/29}}} 


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