QuestionFind expressions equivalent to $4(-5 n+4)-5 n$. Options include: $-5(4 n+4)-5 n$, $16 n-25$, $-25 n+4$, $4(-7 n+2 n+4)-5 n$.

Studdy Solution
Option4 $4(-7 n+2 n+4)-5 n$
First, simplify this expression using the distributive property and combining like terms.
$$4(-7 n+2 n+4)-5 n =4 \cdot (-7n) +4 \cdot2n +4 \cdot4 -5n = -28n +8n +16 -5n = -25n +16$$This expression is equivalent to the given expression.
So, the expressions equivalent to $4(-5 n+4)-5 n$ are $-25n +16$ and $4(-7 n+2 n+4)-5 n$.