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-13=5(1+4k)-2k
We move all terms to the left:
-13-(5(1+4k)-2k)=0
We add all the numbers together, and all the variables
-(5(4k+1)-2k)-13=0
We calculate terms in parentheses: -(5(4k+1)-2k), so:We get rid of parentheses
5(4k+1)-2k
We add all the numbers together, and all the variables
-2k+5(4k+1)
We multiply parentheses
-2k+20k+5
We add all the numbers together, and all the variables
18k+5
Back to the equation:
-(18k+5)
-18k-5-13=0
We add all the numbers together, and all the variables
-18k-18=0
We move all terms containing k to the left, all other terms to the right
-18k=18
k=18/-18
k=-1
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