Question 382811
{{{9(k-4)+2k=2(k-1)+7k}}} Start with the given equation.



{{{9k-36+2k=2k-2+7k}}} Distribute.



{{{11k-36=2k-2+7k}}} Combine like terms on the left side.



{{{11k-36=9k-2}}} Combine like terms on the right side.



{{{11k=9k-2+36}}} Add {{{36}}} to both sides.



{{{11k-9k=-2+36}}} Subtract {{{9k}}} from both sides.



{{{2k=-2+36}}} Combine like terms on the left side.



{{{2k=34}}} Combine like terms on the right side.



{{{k=(34)/(2)}}} Divide both sides by {{{2}}} to isolate {{{k}}}.



{{{k=17}}} Reduce.



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Answer:


So the solution is {{{k=17}}} 



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