Question

revise this sentence by replacing all gerunds with infinitives.
\i keep telling people that i love dancing, writing, and to paint.\

Explanation:

Identify gerunds in the original sentence

The original sentence is: "I keep telling people that I love dancing, writing, and to paint."
The gerunds (verb forms ending in "-ing" functioning as nouns) in this sentence are "telling", "dancing", and "writing".

Replace gerunds with infinitives

Replacing "telling" with "to tell" gives "I keep to tell", which is grammatically incorrect because the verb "keep" must be followed by a gerund. However, the instruction asks to replace "all gerunds with infinitives".
Looking at the structure, "telling" functions as the direct object of "keep", and "dancing" and "writing" function as direct objects of "love" alongside the infinitive "to paint".
Replacing "telling" with "to tell": "I keep to tell..." (unidiomatic, but strictly follows the literal replacement instruction).
Replacing "dancing" and "writing" with "to dance" and "to write": "...that I love to dance, to write, and to paint." (or with parallel structure: "...that I love to dance, write, and paint.")
Combining these replacements yields: "I keep to tell people that I love to dance, to write, and to paint." (or "I keep to tell people that I love to dance, write, and paint.")

Answer:

Revise this sentence by replacing all gerunds with infinitives.
"I keep telling people that I love dancing, writing, and to paint."
<blank>"I keep to tell people that I love to dance, to write, and to paint."</blank>