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4(2+4k)+(7k+1)8=0
We simplify the equation to the form, which is simple to understand
4(2+4k)+(7k+1)8=0
Reorder the terms in parentheses
+(+8+16k)+(7k+1)*8=0
Remove unnecessary parentheses
+8+16k+(+7k+1+)+*8=0
Reorder the terms in parentheses
+8+16k+(+56k+8)=0
Remove unnecessary parentheses
+8+16k+56k+8=0
We move all terms containing k to the left and all other terms to the right.
+16k+56k=0-8-8
We simplify left and right side of the equation.
+72k=-16
We divide both sides of the equation by 72 to get k.
k=-0.222222222222
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