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What does it mean if an equation has 'No Solution'?

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An equation has 'No Solution' when there are no values for the variable that can satisfy the equation. This often occurs when simplifying leads to a false statement, such as 0 = 5.

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What does it mean if an equation has 'One Solution'?

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An equation has 'One Solution' when there is exactly one value for the variable that satisfies the equation. This is typically the case when the variable can be isolated to yield a specific number.

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What does it mean if an equation has 'Infinite Solutions'?

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An equation has 'Infinite Solutions' when any value for the variable satisfies the equation. This usually happens when the equation simplifies to a true statement, such as 0 = 0.

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Solve the equation: 8z - 22 = 3(3z + 11) - z

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No Solution

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Solve the equation: 8m + 12 = 2(4m + 6)

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Infinite Solutions

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How many solutions does the equation have? 3x - 5 + 4x - 2 = 7x - 4 - 3

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Infinite Solutions

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How many solutions does the equation have? 3x - 7 = 2x - 7 - x

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One Solution

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Solve the equation: 2x + 1 = 2x - 1

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No Solution

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What is the first step in solving linear equations?

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The first step is to simplify both sides of the equation, if possible, by combining like terms.

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What is a linear equation?

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A linear equation is an equation of the first degree, meaning it has no exponents greater than one and can be written in the form ax + b = c.