Question

- ( 6w - 1 ) + 3 ( w - 4 )

Answer 1

So to solve your question, we can use this:


`\sf{a(b-c) = ab-ac}`

`\sf{a(b+c) = ab+ac}`

So then


`\sf{-(6w-1)}`

If we use the above formulas then:

`\sf{-(6w-1) = -6w+1}`

And for

`\sf{3(w-4)}`

We will get:


`\sf{3(w-4) = 3w-3(4) =3w-12}`

And to simplify

`\sf{-(6w-1)+3(w-4)}`

Since we already calculated the individual parts, not put them together, so:


`\sf{-6w+1+3w-12}`

Now we have to add the like terms which are -6w and 3w. And also 1 and -12.

Rearranging the terms, we get:


`\sf{-6w+3w-12+1}`

And
`\sf{-12+1=-11}`

And also
`\sf{-6w+3w= w(-6+3) = w(-3) = -3w}`

So combining that, we get:


`\sf{-3w-11}`

Which is your final answer :)