Solving Equations with Variable on Both Sides

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What is an equation with variables on both sides?

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An equation that contains variables on both the left and right sides, requiring manipulation to isolate the variable.

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How do you isolate a variable in an equation?

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To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

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What is the first step in solving the equation 46 - 8p = 19 + p?

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The first step is to get all terms involving p on one side and constant terms on the other side.

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What does it mean to combine like terms in an equation?

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Combining like terms means to add or subtract terms that have the same variable raised to the same power.

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How do you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

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What is the purpose of using parentheses in equations?

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Parentheses indicate which operations should be performed first according to the order of operations.

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What is the distributive property?

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The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.