Question 970153
There are two ways to solve -5(2 - w) = 10.  For each way, the goal is to get w by itself on one side of the equal sign.


Way #1:


First, divide both sides of the equal sign by -5:


{{{(-5(2-w))/-5=10/-5}}}


This will give us:


2 - w = -2


Next, subtract 2 from both sides:


2 - w - 2 = -2 - 2


This will give us:


-w = -4


Finally, divide both sides by -1, so that our w will not have a negative sign in front of it:


{{{-w/-1=-4/-1}}}


This will give us our final answer, which is 


w = 4


Way #2:


Using the distributive property, we can multiply -5 by everything inside the parenthesis on the left side of our equation, which will give us


-10 + 5w = 10


Next, we can add 10 to both sides of the equation:


-10 + 5w + 10 = 10 + 10


This will give us


5w = 20


Finally, we can divide both sides of the equation by 5:


{{{(5w)/5=20/5}}}


Giving us


w = 4


Either way will give you the correct answer of w = 4