Question 557564
{{{-11-(3k-44)=-6+11(5k-7)}}} Start with the given equation.



{{{-11-3k+44=-6+55k-77}}} Distribute.



{{{-3k+33=-6+55k-77}}} Combine like terms on the left side.



{{{-3k+33=55k-83}}} Combine like terms on the right side.



{{{-3k=55k-83-33}}} Subtract {{{33}}} from both sides.



{{{-3k-55k=-83-33}}} Subtract {{{55k}}} from both sides.



{{{-58k=-83-33}}} Combine like terms on the left side.



{{{-58k=-116}}} Combine like terms on the right side.



{{{k=(-116)/(-58)}}} Divide both sides by {{{-58}}} to isolate {{{k}}}.



{{{k=2}}} Reduce.



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Answer:


So the solution is {{{k=2}}} 


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