Solving Multistep Equations

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What is a multistep equation?

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A multistep equation is an equation that requires more than one step to solve. It often involves combining like terms, using the distributive property, and isolating the variable.

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What does it mean to isolate a variable in an equation?

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Isolating a variable means rearranging the equation so that the variable is on one side and all other terms are on the other side.

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What is the distributive property?

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The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

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n = 2

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What does it mean if an equation has infinite solutions?

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An equation has infinite solutions if any value of the variable satisfies the equation, often occurring when both sides of the equation are equivalent.

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Infinite Solutions

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What is a solution to an equation?

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A solution to an equation is a value that, when substituted for the variable, makes the equation true.

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x = 0

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What does it mean if an equation has no solution?

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An equation has no solution if there is no value for the variable that can make the equation true, often resulting in a contradiction.

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x = -6