Complex sentence: Van Gogh greatly admired Gauguin, and desperately wanted to be treated as his equal, but Gauguin was arrogant and domineering, a fact that often frustrated Van Gogh.
Split into simpler sentences: Van Gogh greatly admired Gauguin, and desperately wanted to be treated as his equal. But Gauguin was arrogant and domineering, a fact that often frustrated Van Gogh.