Solve each equation. Leave your answer as a fraction if it...

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Key Concepts

Finding Common Denominators

Finding a common denominator is useful when working with equations that contain multiple fractions. By rewriting the fractions with a shared denominator, you can combine or compare terms more easily, which is a crucial step when simplifying and solving the equation.

Properties of Equality

The properties of equality, including the addition, subtraction, multiplication, and division properties, are fundamental to solving equations. They allow operations to be performed on both sides of the equation without changing its solution, ultimately enabling the isolation of the variable.

Linear Equations

Linear equations are algebraic equations in which the variable appears to the first power and the graph of the equation is a straight line. These equations typically involve operations such as addition, subtraction, multiplication, and division, and are solved by isolating the variable on one side of the equation.

Clearing Fractions

Clearing fractions involves multiplying both sides of an equation by a common denominator to eliminate fractional coefficients. This step simplifies the equation by converting it into an equation with integer coefficients, making subsequent algebraic operations more manageable.

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