Answer:
w = -8
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