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3(k+5)=2(6-k)
We move all terms to the left:
3(k+5)-(2(6-k))=0
We add all the numbers together, and all the variables
3(k+5)-(2(-1k+6))=0
We multiply parentheses
3k-(2(-1k+6))+15=0
We calculate terms in parentheses: -(2(-1k+6)), so:We get rid of parentheses
2(-1k+6)
We multiply parentheses
-2k+12
Back to the equation:
-(-2k+12)
3k+2k-12+15=0
We add all the numbers together, and all the variables
5k+3=0
We move all terms containing k to the left, all other terms to the right
5k=-3
k=-3/5
k=-3/5
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