Question

Simplify to create an equivalent expression. 2(-n-3)-7(5+2m)

Answer 1

Assignment:
`\bold{Simplify \ Equation: \ 2\left(-n-3\right)-7\left(5+2m\right)}`

<><><><><>

Answer:
`\boxed{\bold{-2n-14m-41}}`

<><><><><>

Explanation:
`\downarrow\downarrow\downarrow`

<><><><><>

[ Step One ] Expand
`\bold{2\left(-n-3\right)}`

`\bold{-2n-6}`

[ Step Two ] Rewrite Equation

`\bold{-2n-6-7\left(5+2m\right)}`

[ Step Three ] Expand
`\bold{-7\left(5+2m\right)}`

`\bold{-35-14m}`

[ Step Four ] Rewrite Equation

`\bold{-2n-6-35-14m}`

[ Step Five ] Subtract Numbers:
`\bold{-6-35=-41}`

`\bold{-2n-14m-41}`

<><><><><><><>

`\bold{\rightarrow Mordancy \leftarrow}`

Answer 2

2(-n-3)-7(5+2m)

First use the distributive property on both terms:

-2n-6 -35 -14m

Subtract 35 from -6:

-2n - 41 - 14m

Now reorder to get:

-14m -2n - 41