How do you solve #3( \frac { 5} { 6} - 2k ) + \frac { 5} { 2} ( 3k - 2) = 8#?

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Answer 1 · 2018-04-15T18:00:33

#k=7#

#3(5/6-2k)+5/2(3k-2)=8#

#15/6-6k+15/2*k-10/2=8#

#15/6-6k+15/2*k-5=8# multiply both sides by #6#

#6*15/6-6*6k+6*15/2*k-6*5=6*8#

#cancelcolor(red)6*15/cancelcolor(red)6-6*6k+color(green)3cancelcolor(red)6*15/cancelcolor(red)2*k-6*5=6*8#

#15-36k+45k-30=48#

#-36k+45k=48+30-15#

#9k=63# divide both sides by #9#

#(9k)/9=63/9#

#(color(red)cancel9k)/color(red)9=7#

#k=7#