A 21.2-kg object is being pulled in one direction by a force of 68.8 N while a force of 26.5 N pulls in the opposite direction. What is the acceleration of the object

The net force is in the direction of the larger force. If we take that direction to be positive, then the net force has a magnitude of
68.8 N - 26.5 N = 42.3 N
Use Newton's second law to solve for the acceleration:
F = m a
42.3 N = (21.2 kg) a
a = (42.3 N) / (21.2 kg)
a ≈ 2.00 m/s²
(you might also try 1.99 or 2.01 in case that doesn't get accepted)