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49(k+47)=31
We move all terms to the left:
49(k+47)-(31)=0
We multiply parentheses
49k+2303-31=0
We add all the numbers together, and all the variables
49k+2272=0
We move all terms containing k to the left, all other terms to the right
49k=-2272
k=-2272/49
k=-46+18/49
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