Example

Solving a−28=−37a - 28 = -37 Using the Addition Property

To solve the equation a−28=−37a - 28 = -37, the objective is to isolate the variable aa by reversing the subtraction of 2828. Apply the Addition Property of Equality by adding 2828 to both sides:

a−28+28=−37+28a - 28 + 28 = -37 + 28

On the left side, −28+28=0-28 + 28 = 0, leaving just aa. On the right side, −37+28=−9-37 + 28 = -9. This simplifies to a=−9a = -9.

To verify, substitute −9-9 back into the original equation: −9−28=−37-9 - 28 = -37, which simplifies to −37=−37-37 = -37. Since this is a true statement, a=−9a = -9 is confirmed as the correct solution.

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Updated 2026-04-21

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