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5(-3k-6)=-75
We simplify the equation to the form, which is simple to understand
5(-3k-6)=-75
Reorder the terms in parentheses
+(-15k-30)=-75
Remove unnecessary parentheses
-15k-30=-75
We move all terms containing k to the left and all other terms to the right.
-15k=-75+30
We simplify left and right side of the equation.
-15k=-45
We divide both sides of the equation by -15 to get k.
k=3
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