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4(2k+5)=3(4k-5)-12
We move all terms to the left:
4(2k+5)-(3(4k-5)-12)=0
We multiply parentheses
8k-(3(4k-5)-12)+20=0
We calculate terms in parentheses: -(3(4k-5)-12), so:We get rid of parentheses
3(4k-5)-12
We multiply parentheses
12k-15-12
We add all the numbers together, and all the variables
12k-27
Back to the equation:
-(12k-27)
8k-12k+27+20=0
We add all the numbers together, and all the variables
-4k+47=0
We move all terms containing k to the left, all other terms to the right
-4k=-47
k=-47/-4
k=11+3/4
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