Question 257836


{{{3(k-2)-6=4k-(3k-1)}}} Start with the given equation.



{{{3k-6-6=4k-3k+1}}} Distribute.



{{{3k-12=4k-3k+1}}} Combine like terms on the left side.



{{{3k-12=k+1}}} Combine like terms on the right side.



{{{3k=k+1+12}}} Add {{{12}}} to both sides.



{{{3k-k=1+12}}} Subtract {{{k}}} from both sides.



{{{2k=1+12}}} Combine like terms on the left side.



{{{2k=13}}} Combine like terms on the right side.



{{{k=(13)/(2)}}} Divide both sides by {{{2}}} to isolate {{{k}}}.



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Answer:


So the solution is {{{k=13/2}}} which in decimal form is {{{k=6.5}}}.