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-41=-(2k+2)+5(-k+2)
We move all terms to the left:
-41-(-(2k+2)+5(-k+2))=0
We add all the numbers together, and all the variables
-(-(2k+2)+5(-1k+2))-41=0
We calculate terms in parentheses: -(-(2k+2)+5(-1k+2)), so:We get rid of parentheses
-(2k+2)+5(-1k+2)
We multiply parentheses
-(2k+2)-5k+10
We get rid of parentheses
-2k-5k-2+10
We add all the numbers together, and all the variables
-7k+8
Back to the equation:
-(-7k+8)
7k-8-41=0
We add all the numbers together, and all the variables
7k-49=0
We move all terms containing k to the left, all other terms to the right
7k=49
k=49/7
k=7
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