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7(1+7k)=38-4k
We move all terms to the left:
7(1+7k)-(38-4k)=0
We add all the numbers together, and all the variables
7(7k+1)-(-4k+38)=0
We multiply parentheses
49k-(-4k+38)+7=0
We get rid of parentheses
49k+4k-38+7=0
We add all the numbers together, and all the variables
53k-31=0
We move all terms containing k to the left, all other terms to the right
53k=31
k=31/53
k=31/53
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