Answer:
h = -1
Step-by-step explanation:
Solve for h:
16 h - 9 = -6 h - 31
Add 6 h to both sides:
16 h + 6 h - 9 = (6 h - 6 h) - 31
6 h - 6 h = 0:
16 h + 6 h - 9 = -31
16 h + 6 h = 22 h:
22 h - 9 = -31
Add 9 to both sides:
22 h + (9 - 9) = 9 - 31
9 - 9 = 0:
22 h = 9 - 31
9 - 31 = -22:
22 h = -22
Divide both sides of 22 h = -22 by 22:
(22 h)/22 = (-22)/22
22/22 = 1:
h = (-22)/22
The gcd of -22 and 22 is 22, so (-22)/22 = (22 (-1))/(22×1) = 22/22×-1 = -1:
Answer: h = -1
