Question

Simplify the expression.

$-4\left(n+1\right)+15n$

Short answer

Value of given expression is $11n-4$.

Step-by-step solution

Step-1- Expanding terms of given expression

$-4\left(n+1\right)+15n$

This can be written as,

$\begin{array}{l}-4(n+1)+15n=-4n+-4\left(1\right)+15n\\ -4(n+1)+15n=-4n-4+15n\end{array}$

Step-2- Combining like terms 

Combining like terms, we get,

$\begin{array}{l}-4(n+1)+15n=15n-4n-4\\ -4(n+1)+15n=11n-4\end{array}$

Step-3- Conclusion

Therefore, the value of given expression is $11n-4$.