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6(5k-8)=3(8k+6)
We move all terms to the left:
6(5k-8)-(3(8k+6))=0
We multiply parentheses
30k-(3(8k+6))-48=0
We calculate terms in parentheses: -(3(8k+6)), so:We get rid of parentheses
3(8k+6)
We multiply parentheses
24k+18
Back to the equation:
-(24k+18)
30k-24k-18-48=0
We add all the numbers together, and all the variables
6k-66=0
We move all terms containing k to the left, all other terms to the right
6k=66
k=66/6
k=11
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