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3(4k+5)=2(-10+5k)
We move all terms to the left:
3(4k+5)-(2(-10+5k))=0
We add all the numbers together, and all the variables
3(4k+5)-(2(5k-10))=0
We multiply parentheses
12k-(2(5k-10))+15=0
We calculate terms in parentheses: -(2(5k-10)), so:We get rid of parentheses
2(5k-10)
We multiply parentheses
10k-20
Back to the equation:
-(10k-20)
12k-10k+20+15=0
We add all the numbers together, and all the variables
2k+35=0
We move all terms containing k to the left, all other terms to the right
2k=-35
k=-35/2
k=-17+1/2
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