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-4(1+9k)=-8(5k+6)
We simplify the equation to the form, which is simple to understand
-4(1+9k)=-8(5k+6)
Reorder the terms in parentheses
+(-4-36k)=-8*(5k+6)
Remove unnecessary parentheses
-4-36k=-8+*(+5k+6+)
Reorder the terms in parentheses
-4-36k=+(-40k-48)
Remove unnecessary parentheses
-4-36k=-40k-48
We move all terms containing k to the left and all other terms to the right.
-36k+40k=-48+4
We simplify left and right side of the equation.
+4k=-44
We divide both sides of the equation by 4 to get k.
k=-11
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