Properties of Equality

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Additive Property

If a = b, then a + c = b + c.

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Subtractive Property

If a = b, then a - c = b - c.

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Multiplication Property

If a = b, then a • c = b • c.

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Division Property

If a = b, then a ÷ c = b ÷ c.

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Transitive Property

If A = B and B = C, then A = C.

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Substitution Property

If A = B, we can substitute A with B or B with A in any equation.

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Reflexive Property

Showing that a number or variable is equal to itself.

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Symmetric Property

If a = b, then b = a.

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