Question

Simplify each expression.

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

Short answer

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

Step-by-step solution

– Distributive property of addition.

Apply the distributive property to the given expression.

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

– Description of step.

Perform multiplication to the obtained expression in step 1.

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

– Commutative property of addition.

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

$-2m-7n-18$

Therefore, the answer is$-2m-7n-18$