Question

12−6(w−3)=3(−5−3w)+21

Answer 1

w = -8

Explanation:

We can solve for w by first simplifying on both sides:

`12-6(w-3)=3(-5-3w)+21\\12-6w+18=-15-9w+21\\-6w+30=-9w+6`

Now, we can solve by isolating w:

`-6w+30=-9w+6\\-6w+24=-9w\\24=-3w\\-8=w`

It can be helpful to check that our solution is correct by plugging it back into the equation:

`12-6(-8-3)=3(-5-3(-8))+21\\12-6(-11)=3(-5+24)+21\\12+66=3(19)+21\\78=57+21\\78=78`