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I suggest you search for some examples to get the general idea. Basically, you convert all units to generic descriptions such as [length], [time], [current], etc.; then you combine them. If you add a length to another length, you get a length again, so:

[length] + [length] = [length]

Similarly,

[length] - [length] = [length]

Please note that:

1) This is different from regular addition or subtraction.

2) You can't add or subtract different types of units. For example, if in a formula you are supposed to add a speed and an acceleration, you get:

speed + acceleration

= [length] / [time] + [length] / [time]2

... which can't be added. If you get something like this, something is wrong with this formula. Such formulae might be used as "rule-of thumb" formulae, and might sometimes give good approximations - but they are not dimensionally correct.

On the other hand, if you multiply or divide units in a calculation, you get the regular product or quotient, for example:

[length] times [length] = [length] squared.

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Q: How do you determine the units of a problem using dimensional analysis?
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