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This is the rule of addition which states that if equals are added to equals, the sum is equal. It also applies to subtraction.

The rule of multiplication is similar: if equals are multiplied by equals , the result is equal. It also applies to division.

These are the basic rules of algebra ; In fact that is what algebra means, from the Arabic "al jabr" : what is done to one side, if done to the other, nothing is changed.

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Q: What states that the solution to an equation does not change when the same number is subtracted from both sides of the equation?
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Related questions

What is the property that you can subtract the same number from both sides of an equation the new equation will have the same solution?

The property is: If equals are subtracted from equals, the results are equal.


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The number to be subtracted is 11.The number to be subtracted is 11.The number to be subtracted is 11.The number to be subtracted is 11.