Answer
$\left[\begin{array}{lll}
0 & -10 & -15\\
-40 & -5 & -15
\end{array}\right]$
Work Step by Step
To add two matrices, they must have the same order.
The resulting matrix has elements obtained by adding the corresponding elements of the two matrices.
$A$ and $D$ are both $2\times 3$ matrices, so their sum exists.
$A+D=\left[\begin{array}{lll}
2+(-2) & -1+3 & 2+1\\
5+3 & 3+(-2) & -1+4
\end{array}\right]$=$\left[\begin{array}{lll}
0 & 2 & 3\\
8 & 1 & 3
\end{array}\right]$
If $A$ is a matrix and $c$ is a scalar, then $cA$ is the matrix formed by multiplying each element in $A$ by $c$.
$-5(A+D)=\left[\begin{array}{lll}
-5(0) & -5(2) & -5(3)\\
-5(8) & -5(1) & -5(3)
\end{array}\right]$
$=\left[\begin{array}{lll}
0 & -10 & -15\\
-40 & -5 & -15
\end{array}\right]$
