1. We can reuse the water after we rinse the rice.

2. We can reuse the water after we rinse rice.

(Do we have to sue 'the' before 'rice'?)

3. We can do the laundry after we gathering many clothes.

4. We can put many clothes in the washing machine.

5. We can use less water when we wash clothes in the washing machine.

6. We can spend less water to clean clothes with a washing machine.
(Do the four sentences have the same meaning? Are they all grammatical? Do we have to use 'the' or 'a' before 'washing machine'?)

#1 is better than #2.

#s 3, 4, and 5 are fine.

#6 is incorrect.

1. Yes, you can use the word "the" before "rice" in both sentences if you are referring to a specific batch of rice that has been mentioned before or is known in context. However, you can also omit "the" and simply say "rinse rice" if you are talking about rice in a general sense.

2. Both sentences are grammatically correct. The omission of "the" in the second sentence is also acceptable since it is referring to rice in a general sense.

3. The sentence "We can do the laundry after we gathering many clothes" is grammatically incorrect. It should be: "We can do the laundry after we gather many clothes."

4. The sentence "We can put many clothes in the washing machine" is grammatically correct. There is no need to use "the" or "a" before "washing machine" in this context.

5. The sentence "We can use less water when we wash clothes in the washing machine" is grammatically correct and conveys the idea that less water can be used while using a washing machine for clothes. No need for "the" or "a" before "washing machine" in this context.

6. The sentence "We can spend less water to clean clothes with a washing machine" is grammatically correct. Here, "a" is used before "washing machine" because it is referring to any washing machine in general. "The" could also be used if there is a specific washing machine that has been mentioned or is known in context.