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3(5k+1)=-7+5(4k-4)
We simplify the equation to the form, which is simple to understand
3(5k+1)=-7+5(4k-4)
Reorder the terms in parentheses
+(+15k+3)=-7+5*(4k-4)
Remove unnecessary parentheses
+15k+3=-7+5+*(+4k-4+)
Reorder the terms in parentheses
+15k+3=-7+(+20k-20)
Remove unnecessary parentheses
+15k+3=-7+20k-20
We move all terms containing k to the left and all other terms to the right.
+15k-20k=-7-20-3
We simplify left and right side of the equation.
-5k=-30
We divide both sides of the equation by -5 to get k.
k=6
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