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3(12+2k)=2(-k+2)
We move all terms to the left:
3(12+2k)-(2(-k+2))=0
We add all the numbers together, and all the variables
3(2k+12)-(2(-1k+2))=0
We multiply parentheses
6k-(2(-1k+2))+36=0
We calculate terms in parentheses: -(2(-1k+2)), so:We get rid of parentheses
2(-1k+2)
We multiply parentheses
-2k+4
Back to the equation:
-(-2k+4)
6k+2k-4+36=0
We add all the numbers together, and all the variables
8k+32=0
We move all terms containing k to the left, all other terms to the right
8k=-32
k=-32/8
k=-4
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