Solve equations with variables 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 solve an equation with variables on both sides?

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1. Simplify both sides of the equation. 2. Move all variable terms to one side and constant terms to the other. 3. Combine like terms. 4. Isolate the variable.

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x = 2

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x = -22

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Solve the equation: 8k - 6 = 6(k + 3) + 6k. What is its solution?

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k = -6

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x = -8

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x = -6

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

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To manipulate the equation so that the variable is alone on one side, making it easier to solve.

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What is a like term in algebra?

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Terms that have the same variable raised to the same power, allowing them to be combined.

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What is the distributive property?

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A property that states a(b + c) = ab + ac, used to simplify expressions.