We use the properties of equality to rewrite equations and solve equations for a variable. These properties allow us to maintain a balance between the two sides of the equation. Why is it important to keep the two sides of an equation balanced when solving? What other properties do we use to rewrite expressions and equations?

so you see, if there is nothing to balance the equations on then the entire thing will fall apart and you wont be able to solve for a variable

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answer; scientific;