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15(2-k)=24(3k-1)-8k
We move all terms to the left:
15(2-k)-(24(3k-1)-8k)=0
We add all the numbers together, and all the variables
15(-1k+2)-(24(3k-1)-8k)=0
We multiply parentheses
-15k-(24(3k-1)-8k)+30=0
We calculate terms in parentheses: -(24(3k-1)-8k), so:We get rid of parentheses
24(3k-1)-8k
We add all the numbers together, and all the variables
-8k+24(3k-1)
We multiply parentheses
-8k+72k-24
We add all the numbers together, and all the variables
64k-24
Back to the equation:
-(64k-24)
-15k-64k+24+30=0
We add all the numbers together, and all the variables
-79k+54=0
We move all terms containing k to the left, all other terms to the right
-79k=-54
k=-54/-79
k=54/79
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