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-5(1+2k)-7(-4+5k)=k
We move all terms to the left:
-5(1+2k)-7(-4+5k)-(k)=0
We add all the numbers together, and all the variables
-5(2k+1)-7(5k-4)-k=0
We add all the numbers together, and all the variables
-1k-5(2k+1)-7(5k-4)=0
We multiply parentheses
-1k-10k-35k-5+28=0
We add all the numbers together, and all the variables
-46k+23=0
We move all terms containing k to the left, all other terms to the right
-46k=-23
k=-23/-46
k=1/2
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