Answer:
w = -20
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:
Answer: w = -20