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5(k-2)=10(k+9)
We move all terms to the left:
5(k-2)-(10(k+9))=0
We multiply parentheses
5k-(10(k+9))-10=0
We calculate terms in parentheses: -(10(k+9)), so:We get rid of parentheses
10(k+9)
We multiply parentheses
10k+90
Back to the equation:
-(10k+90)
5k-10k-90-10=0
We add all the numbers together, and all the variables
-5k-100=0
We move all terms containing k to the left, all other terms to the right
-5k=100
k=100/-5
k=-20
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