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-91=7(k-1)+7k
We move all terms to the left:
-91-(7(k-1)+7k)=0
We calculate terms in parentheses: -(7(k-1)+7k), so:We get rid of parentheses
7(k-1)+7k
We add all the numbers together, and all the variables
7k+7(k-1)
We multiply parentheses
7k+7k-7
We add all the numbers together, and all the variables
14k-7
Back to the equation:
-(14k-7)
-14k+7-91=0
We add all the numbers together, and all the variables
-14k-84=0
We move all terms containing k to the left, all other terms to the right
-14k=84
k=84/-14
k=-6
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