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5(k-2)=10(3k+9)*
We move all terms to the left:
5(k-2)-(10(3k+9)*)=0
We multiply parentheses
5k-(10(3k+9)*)-10=0
We calculate terms in parentheses: -(10(3k+9)*), so:We get rid of parentheses
10(3k+9)*
We multiply parentheses
30k+90
Back to the equation:
-(30k+90)
5k-30k-90-10=0
We add all the numbers together, and all the variables
-25k-100=0
We move all terms containing k to the left, all other terms to the right
-25k=100
k=100/-25
k=-4
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