4-2(1-w) =-38
solve and plug back in step by step

w = -20

Step-by-step explanation:

Solve for w:

4 - 2 (1 - w) = -38

Hint: | Distribute -2 over 1 - w.

-2 (1 - w) = 2 w - 2:

2 w - 2 + 4 = -38

Hint: | Group like terms in 2 w - 2 + 4.

Grouping like terms, 2 w - 2 + 4 = 2 w + (4 - 2):

2 w + (4 - 2) = -38

Hint: | Evaluate 4 - 2.

4 - 2 = 2:

2 w + 2 = -38

Hint: | Isolate terms with w to the left hand side.

Subtract 2 from both sides:

2 w + (2 - 2) = -2 - 38

Hint: | Look for the difference of two identical terms.

2 - 2 = 0:

2 w = -2 - 38

Hint: | Evaluate -2 - 38.

-2 - 38 = -40:

2 w = -40

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 2 w = -40 by 2:

(2 w)/2 = (-40)/2

Hint: | Any nonzero number divided by itself is one.

2/2 = 1:

w = (-40)/2

Hint: | Reduce (-40)/2 to lowest terms. Start by finding the GCD of -40 and 2.

The gcd of -40 and 2 is 2, so (-40)/2 = (2 (-20))/(2×1) = 2/2×-20 = -20:

w = -20