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4(4-5k)-5(7-2k)+6=3k+7
We move all terms to the left:
4(4-5k)-5(7-2k)+6-(3k+7)=0
We add all the numbers together, and all the variables
4(-5k+4)-5(-2k+7)-(3k+7)+6=0
We multiply parentheses
-20k+10k-(3k+7)+16-35+6=0
We get rid of parentheses
-20k+10k-3k-7+16-35+6=0
We add all the numbers together, and all the variables
-13k-20=0
We move all terms containing k to the left, all other terms to the right
-13k=20
k=20/-13
k=-1+7/13
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