How do I solve for w?

5 (w+2) - 8w=34

w=-8

Step-by-step explanation:

5 (w+2) - 8w = 34

5w+10 - 8w = 34

10 - 3w=34

10-34=3w

-24/3=w

w=-8

w = - 8

Step-by-step explanation:

Solve for w:

5 (w + 2) - 8 w = 34

5 (w + 2) = 5 w + 10:

5 w + 10 - 8 w = 34

Grouping like terms, 5 w - 8 w + 10 = 10 + (5 w - 8 w):

10 + (5 w - 8 w) = 34

5 w - 8 w = - 3 w:

-3 w + 10 = 34

Subtract 10 from both sides:

(10 - 10) - 3 w = 34 - 10

10 - 10 = 0:

-3 w = 34 - 10

34 - 10 = 24:

-3 w = 24

Divide both sides of - 3 w = 24 by - 3:

(-3 w) / (-3) = 24 / (-3)

(-3) / (-3) = 1:

w = 24 / (-3)

The gcd of 24 and - 3 is 3, so 24 / (-3) = (3*8) / (3 (-1)) = 3/3*8 / (-1) = 8 / (-1):

w = 8 / (-1)

Multiply numerator and denominator of 8 / (-1) by - 1:

Answer: w = - 8