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4(11k-10)+3k=-12(1-7k)+9
We simplify the equation to the form, which is simple to understand
4(11k-10)+3k=-12(1-7k)+9
Reorder the terms in parentheses
+(+44k-40)+3k=-12*(1-7k)+9
Remove unnecessary parentheses
+44k-40+3k=-12+*(+1-7k+)+9
Reorder the terms in parentheses
+44k-40+3k=+(-12+84k)+9
Remove unnecessary parentheses
+44k-40+3k=-12+84k+9
We move all terms containing k to the left and all other terms to the right.
+44k+3k-84k=-12+9+40
We simplify left and right side of the equation.
-37k=+37
We divide both sides of the equation by -37 to get k.
k=-1
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