42=2(6+w)+2w

Solution for 42=2(6+w)+2w equation:

42=2(6+w)+2w

We move all terms to the left:

42-(2(6+w)+2w)=0

We add all the numbers together, and all the variables

-(2(w+6)+2w)+42=0


We calculate terms in parentheses: -(2(w+6)+2w), so:

2(w+6)+2w

We add all the numbers together, and all the variables

2w+2(w+6)

We multiply parentheses

2w+2w+12

We add all the numbers together, and all the variables

4w+12

Back to the equation:

-(4w+12)


We get rid of parentheses

-4w-12+42=0

We add all the numbers together, and all the variables

-4w+30=0

We move all terms containing w to the left, all other terms to the right

-4w=-30

w=-30/-4

w=7+1/2