Question

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

Answer 1

Answer:

$-\frac{7w+4}{2}+w-3$

Step-by-step explanation:

Is this the correct statement?

$-\frac{1}{2}(7w+4)+\frac{1}{5}(5w-15)$

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:

$-\frac{7w+4}{2}+\frac{1}{5}(5w-15)$

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

$-\frac{7w+4}{2}+\frac{5w-15}{5}$

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

$-\frac{7w+4}{2}+\frac{5(w-3)}{5}$

Finally, cancel out the 5s:

$-\frac{7w+4}{2}+\frac{w-3}{1}\\\\-\frac{7w+4}{2}+w-3$

That's as simplified as it gets.