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How can properties help write equivalent algebraic expressions

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Properties can help write equivalent algebraic expressions by allowing us to manipulate and rearrange expressions without changing their value. For example, the distributive property can be used to simplify expressions by expanding brackets, while the associative and commutative properties can be used to rearrange the order of terms or group them differently. Additionally, properties such as the identity and inverse properties can be used to simplify or solve equations. By using these properties, we can often write algebraic expressions in different ways that are equivalent in value.

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