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(9k+1)6+(4+2k)9=0
We simplify the equation to the form, which is simple to understand
(9k+1)6+(4+2k)9=0
Reorder the terms in parentheses
(+54k+6)+(4+2k)*9=0
Remove unnecessary parentheses
+54k+6+(4+2k)*9=0
Reorder the terms in parentheses
+54k+6+(+36+18k)=0
Remove unnecessary parentheses
+54k+6+36+18k=0
We move all terms containing k to the left and all other terms to the right.
+54k+18k=0-6-36
We simplify left and right side of the equation.
+72k=-42
We divide both sides of the equation by 72 to get k.
k=-0.583333333333
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