Question

What is the solution of the equation$-4(n+5)=-32?$

1. $-13$
2. $-12$
3. $3$
4. $13$

Short answer

The correct answer of this question is C $3$.

Step-by-step solution

Step  1.  Find the value of n to get solution of the equation.

In this, Solve the given equation and find the value of n to get the correct answer.

Step  2.  Find the solution of the equation

Here, The expression is simplified as:

$\begin{array}{l}-4(n+5)=-32\\ -4n-20=-32\\ -4n=-32+20\\ -4n=-12\\ n=\frac{-12}{-4}=\frac{-\cancel{1}2}{-\cancel{4}}\\ n=3\end{array}$

Step 3.  Eliminating the options to get correct one

1. $-13$It is the incorrect option because after simplifying this expression the answer is $3$.
2. $-12$ It is the incorrect option because after simplifying this expression the answer is $3$.
3. $3$ It is the correct option because after simplifying this expression the answer is $3$.
4. $13$ It is the incorrect option because after simplifying this expression the answer is $3$.