Answer:
w = 19/4
Explanation:
Solve for w:
-27 + 17 (w - 4) + 3 w = 0
17 (w - 4) = 17 w - 68:
17 w - 68 + 3 w - 27 = 0
Grouping like terms, 17 w + 3 w - 68 - 27 = (17 w + 3 w) + (-27 - 68):
(17 w + 3 w) + (-27 - 68) = 0
17 w + 3 w = 20 w:
20 w + (-27 - 68) = 0
-27 - 68 = -95:
20 w + -95 = 0
Add 95 to both sides:
20 w + (95 - 95) = 95
95 - 95 = 0:
20 w = 95
Divide both sides of 20 w = 95 by 20:
(20 w)/20 = 95/20
20/20 = 1:
w = 95/20
The gcd of 95 and 20 is 5, so 95/20 = (5×19)/(5×4) = 5/5×19/4 = 19/4:
Answer: w = 19/4