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(12-3+5k)6+4k-2(k+5)=0
We simplify the equation to the form, which is simple to understand
(12-3+5k)6+4k-2(k+5)=0
Simplifying terms in parentheses
(+9+5k)*6+4k-2*(k+5)=0
Reorder the terms in parentheses
(+54+30k)+4k-2*(k+5)=0
Remove unnecessary parentheses
+54+30k+4k-2*(k+5)=0
Reorder the terms in parentheses
+54+30k+4k+(-2k-10)=0
Remove unnecessary parentheses
+54+30k+4k-2k-10=0
We move all terms containing k to the left and all other terms to the right.
+30k+4k-2k=0-54+10
We simplify left and right side of the equation.
+32k=-44
We divide both sides of the equation by 32 to get k.
k=-1.375
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