It a Factor that is Intentionally varied by the experimenter in Retarded terms it means something that's experimented with many different times trying to get a certain result
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I'm pretty sure you mean balancing an equation to solve for a particular vairable
the Independent variable is the variable that is not effected in any way by the dependent variable, where as the dependent variable is. for example, amount of water that has flown through a tap in a set number of seconds. the number of seconds is not effected in any way by the amount of water, as water flow has no effect on the passing of time. however, if water is coming out of the tap at 1liter per second, then the amount of time that has passed has a significant impact on the amount of water (after one second, 1 liter will be present, after 2 seconds 2liters etc.).