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-5(1+2k)-8(-4+5k)=0
We simplify the equation to the form, which is simple to understand
-5(1+2k)-8(-4+5k)=0
Reorder the terms in parentheses
+(-5-10k)-8*(-4+5k)=0
Remove unnecessary parentheses
-5-10k-8+*(-4+5k+)=0
Reorder the terms in parentheses
-5-10k+(+32-40k)=0
Remove unnecessary parentheses
-5-10k+32-40k=0
We move all terms containing k to the left and all other terms to the right.
-10k-40k=0+5-32
We simplify left and right side of the equation.
-50k=-27
We divide both sides of the equation by -50 to get k.
k=0.54
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