Q72. - Algebra 2

Question

 Simplify each expression.

 $\mathbf{-}\mathbf{2}\left(\mathbf{m}\mathbf{-}\mathbf{4}\mathbf{n}\right)\mathbf{-}\mathbf{3}\left(\mathbf{5}\mathbf{n}\mathbf{+}\mathbf{6}\right)$

Step-by-Step Solution

Answer

The answer is $\mathbf{-}\mathbf{2}\mathbf{m}\mathbf{-}\mathbf{7}\mathbf{n}\mathbf{-}\mathbf{18}$.

Step 1 – Distributive property of addition.

Apply the distributive property to the given expression.

 

$-2\left(m\right)+2\left(4n\right)-3\left(5n\right)-3\left(6\right)$

 

Step 2 – Description of step.

Perform multiplication to the obtained expression in step 1.

$-2m+8n-15n-18$

Step 3 – Commutative property of addition.

Apply the commutative property of addition to the expression in step 2.

 

$-2m-7n-18$

 

Therefore, the answer is $-2m-7n-18$