Question

-1/2(7w+4)+1/5(5w-15)​
please explain how to solve. thank you

Answer 1

`-(7w+4)/(2)+w-3`

Explanation:

Is this the correct statement?

`-(1)/(2)(7w+4)+(1)/(5)(5w-15)`

If so, here's how. While we're here, you don't actually "solve" an expression, you can only simplify it. Solving it implies solving an equation, and that needs an = sign.

Starting on the left. First, distribute the fraction over the parenthesis:

`-(7w+4)/(2)+(1)/(5)(5w-15)`

Then, do the same thing on the right. Distribute the fraction over the parenthesis again:

`-(7w+4)/(2)+(5w-15)/(5)`

Here, on the right, 5 and 15 have a common factor of 5. Factor that out:

`-(7w+4)/(2)+(5(w-3))/(5)`

Finally, cancel out the 5s:

`-(7w+4)/(2)+(w-3)/(1)\\\\-(7w+4)/(2)+w-3`

That's as simplified as it gets.